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Simplifying 180 + -11x + 2 = 0.5(9x + -10 + 72) Reorder the terms: 180 + 2 + -11x = 0.5(9x + -10 + 72) Combine like terms: 180 + 2 = 182 182 + -11x = 0.5(9x + -10 + 72) Reorder the terms: 182 + -11x = 0.5(-10 + 72 + 9x) Combine like terms: -10 + 72 = 62 182 + -11x = 0.5(62 + 9x) 182 + -11x = (62 * 0.5 + 9x * 0.5) 182 + -11x = (31 + 4.5x) Solving 182 + -11x = 31 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. 182 + -11x + -4.5x = 31 + 4.5x + -4.5x Combine like terms: -11x + -4.5x = -15.5x 182 + -15.5x = 31 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 182 + -15.5x = 31 + 0.0 182 + -15.5x = 31 Add '-182' to each side of the equation. 182 + -182 + -15.5x = 31 + -182 Combine like terms: 182 + -182 = 0 0 + -15.5x = 31 + -182 -15.5x = 31 + -182 Combine like terms: 31 + -182 = -151 -15.5x = -151 Divide each side by '-15.5'. x = 9.741935484 Simplifying x = 9.741935484
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