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Simplifying (5x + -10) + (12x + -14) = 180 Reorder the terms: (-10 + 5x) + (12x + -14) = 180 Remove parenthesis around (-10 + 5x) -10 + 5x + (12x + -14) = 180 Reorder the terms: -10 + 5x + (-14 + 12x) = 180 Remove parenthesis around (-14 + 12x) -10 + 5x + -14 + 12x = 180 Reorder the terms: -10 + -14 + 5x + 12x = 180 Combine like terms: -10 + -14 = -24 -24 + 5x + 12x = 180 Combine like terms: 5x + 12x = 17x -24 + 17x = 180 Solving -24 + 17x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 17x = 180 + 24 Combine like terms: -24 + 24 = 0 0 + 17x = 180 + 24 17x = 180 + 24 Combine like terms: 180 + 24 = 204 17x = 204 Divide each side by '17'. x = 12 Simplifying x = 12
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