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Simplifying 180 = -12(2x + -17) + -3(x + 8) Reorder the terms: 180 = -12(-17 + 2x) + -3(x + 8) 180 = (-17 * -12 + 2x * -12) + -3(x + 8) 180 = (204 + -24x) + -3(x + 8) Reorder the terms: 180 = 204 + -24x + -3(8 + x) 180 = 204 + -24x + (8 * -3 + x * -3) 180 = 204 + -24x + (-24 + -3x) Reorder the terms: 180 = 204 + -24 + -24x + -3x Combine like terms: 204 + -24 = 180 180 = 180 + -24x + -3x Combine like terms: -24x + -3x = -27x 180 = 180 + -27x Add '-180' to each side of the equation. 180 + -180 = 180 + -180 + -27x Combine like terms: 180 + -180 = 0 0 = 180 + -180 + -27x Combine like terms: 180 + -180 = 0 0 = 0 + -27x 0 = -27x Solving 0 = -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. 0 + 27x = -27x + 27x Remove the zero: 27x = -27x + 27x Combine like terms: -27x + 27x = 0 27x = 0 Divide each side by '27'. x = 0 Simplifying x = 0
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