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Simplifying 10x + 10 + 27 + -1(12x + 20) = 180 Reorder the terms: 10x + 10 + 27 + -1(20 + 12x) = 180 10x + 10 + 27 + (20 * -1 + 12x * -1) = 180 10x + 10 + 27 + (-20 + -12x) = 180 Reorder the terms: 10 + 27 + -20 + 10x + -12x = 180 Combine like terms: 10 + 27 = 37 37 + -20 + 10x + -12x = 180 Combine like terms: 37 + -20 = 17 17 + 10x + -12x = 180 Combine like terms: 10x + -12x = -2x 17 + -2x = 180 Solving 17 + -2x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -2x = 180 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = 180 + -17 -2x = 180 + -17 Combine like terms: 180 + -17 = 163 -2x = 163 Divide each side by '-2'. x = -81.5 Simplifying x = -81.5
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