Problem 1 Answer: [tex]x=10[/tex]
Simplify both sides of the equation
[tex](2)(x)+(2)(-3)=14(Distribute)[/tex]
[tex]2x+-6=14[/tex]
[tex]2x-6=14[/tex]
Add 6 to both sides
[tex]2x-6+6=14+6[/tex]
[tex]2x=20[/tex]
Divide both sides by 2
[tex]2x/2=20/2[/tex]
[tex]x=10[/tex]
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Problem 2 Answer: [tex]x=-7[/tex]
Simplify both sides of the equation
[tex](-5)(x)+(-5)(-1)=40(Distribute)[/tex]
[tex]-5x+5=40[/tex]
Subtract 5 from both sides
[tex]-5x+5-5=40-5[/tex]
[tex]-5x=35[/tex]
Divide both sides by -5
[tex]-5x/5=35/-5[/tex]
[tex]x=-7[/tex]
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Problem 3 Answer: [tex]x=-8[/tex]
Simplify both sides of the equation
[tex](12)(x)+(12)(10)=24(Distribute)[/tex]
[tex]12x+120=24[/tex]
Subtract 120 from both sides
[tex]12x+120-120=24-120[/tex]
[tex]12x=-96[/tex]
Divide both sides by 12
[tex]12x/12=-96/12[/tex]
[tex]x=-8[/tex]
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Problem 4 Answer: [tex]x=-1/2[/tex]
Move all terms to the left:
[tex]2(x+6)-(11)=0[/tex]
Multiply parentheses
[tex]2x+12-11=0[/tex]
Add all the numbers together, and all the variables
[tex]2x+1=0[/tex]
Move all terms containing x to the left, all other terms to the right
[tex]2x=-1\\x=-1/2[/tex]
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Problem 5 Answer: [tex]x = 44[/tex]
