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Simplifying 180 + -11x + -7 = 0.5(9x + -10 + 7) Reorder the terms: 180 + -7 + -11x = 0.5(9x + -10 + 7) Combine like terms: 180 + -7 = 173 173 + -11x = 0.5(9x + -10 + 7) Reorder the terms: 173 + -11x = 0.5(-10 + 7 + 9x) Combine like terms: -10 + 7 = -3 173 + -11x = 0.5(-3 + 9x) 173 + -11x = (-3 * 0.5 + 9x * 0.5) 173 + -11x = (-1.5 + 4.5x) Solving 173 + -11x = -1.5 + 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. 173 + -11x + -4.5x = -1.5 + 4.5x + -4.5x Combine like terms: -11x + -4.5x = -15.5x 173 + -15.5x = -1.5 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 173 + -15.5x = -1.5 + 0.0 173 + -15.5x = -1.5 Add '-173' to each side of the equation. 173 + -173 + -15.5x = -1.5 + -173 Combine like terms: 173 + -173 = 0 0 + -15.5x = -1.5 + -173 -15.5x = -1.5 + -173 Combine like terms: -1.5 + -173 = -174.5 -15.5x = -174.5 Divide each side by '-15.5'. x = 11.25806452 Simplifying x = 11.25806452
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