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Simplifying -5(3x + -17) = 2(x + -6) + -5 Reorder the terms: -5(-17 + 3x) = 2(x + -6) + -5 (-17 * -5 + 3x * -5) = 2(x + -6) + -5 (85 + -15x) = 2(x + -6) + -5 Reorder the terms: 85 + -15x = 2(-6 + x) + -5 85 + -15x = (-6 * 2 + x * 2) + -5 85 + -15x = (-12 + 2x) + -5 Reorder the terms: 85 + -15x = -12 + -5 + 2x Combine like terms: -12 + -5 = -17 85 + -15x = -17 + 2x Solving 85 + -15x = -17 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 85 + -15x + -2x = -17 + 2x + -2x Combine like terms: -15x + -2x = -17x 85 + -17x = -17 + 2x + -2x Combine like terms: 2x + -2x = 0 85 + -17x = -17 + 0 85 + -17x = -17 Add '-85' to each side of the equation. 85 + -85 + -17x = -17 + -85 Combine like terms: 85 + -85 = 0 0 + -17x = -17 + -85 -17x = -17 + -85 Combine like terms: -17 + -85 = -102 -17x = -102 Divide each side by '-17'. x = 6 Simplifying x = 6
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