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Simplifying (10x + -5) + (12x + -7) = 180 Reorder the terms: (-5 + 10x) + (12x + -7) = 180 Remove parenthesis around (-5 + 10x) -5 + 10x + (12x + -7) = 180 Reorder the terms: -5 + 10x + (-7 + 12x) = 180 Remove parenthesis around (-7 + 12x) -5 + 10x + -7 + 12x = 180 Reorder the terms: -5 + -7 + 10x + 12x = 180 Combine like terms: -5 + -7 = -12 -12 + 10x + 12x = 180 Combine like terms: 10x + 12x = 22x -12 + 22x = 180 Solving -12 + 22x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 22x = 180 + 12 Combine like terms: -12 + 12 = 0 0 + 22x = 180 + 12 22x = 180 + 12 Combine like terms: 180 + 12 = 192 22x = 192 Divide each side by '22'. x = 8.727272727 Simplifying x = 8.727272727
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