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Simplifying (40x + -17) + (35 + -2x) + (6 + x) = 180 Reorder the terms: (-17 + 40x) + (35 + -2x) + (6 + x) = 180 Remove parenthesis around (-17 + 40x) -17 + 40x + (35 + -2x) + (6 + x) = 180 Remove parenthesis around (35 + -2x) -17 + 40x + 35 + -2x + (6 + x) = 180 Remove parenthesis around (6 + x) -17 + 40x + 35 + -2x + 6 + x = 180 Reorder the terms: -17 + 35 + 6 + 40x + -2x + x = 180 Combine like terms: -17 + 35 = 18 18 + 6 + 40x + -2x + x = 180 Combine like terms: 18 + 6 = 24 24 + 40x + -2x + x = 180 Combine like terms: 40x + -2x = 38x 24 + 38x + x = 180 Combine like terms: 38x + x = 39x 24 + 39x = 180 Solving 24 + 39x = 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 + 39x = 180 + -24 Combine like terms: 24 + -24 = 0 0 + 39x = 180 + -24 39x = 180 + -24 Combine like terms: 180 + -24 = 156 39x = 156 Divide each side by '39'. x = 4 Simplifying x = 4
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