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Simplifying (11x + -31) + (10x + -15) + 58 = 180 Reorder the terms: (-31 + 11x) + (10x + -15) + 58 = 180 Remove parenthesis around (-31 + 11x) -31 + 11x + (10x + -15) + 58 = 180 Reorder the terms: -31 + 11x + (-15 + 10x) + 58 = 180 Remove parenthesis around (-15 + 10x) -31 + 11x + -15 + 10x + 58 = 180 Reorder the terms: -31 + -15 + 58 + 11x + 10x = 180 Combine like terms: -31 + -15 = -46 -46 + 58 + 11x + 10x = 180 Combine like terms: -46 + 58 = 12 12 + 11x + 10x = 180 Combine like terms: 11x + 10x = 21x 12 + 21x = 180 Solving 12 + 21x = 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 + 21x = 180 + -12 Combine like terms: 12 + -12 = 0 0 + 21x = 180 + -12 21x = 180 + -12 Combine like terms: 180 + -12 = 168 21x = 168 Divide each side by '21'. x = 8 Simplifying x = 8
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