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Simplifying 5(43 + 2x) + -1(8x + -12) = 68 (43 * 5 + 2x * 5) + -1(8x + -12) = 68 (215 + 10x) + -1(8x + -12) = 68 Reorder the terms: 215 + 10x + -1(-12 + 8x) = 68 215 + 10x + (-12 * -1 + 8x * -1) = 68 215 + 10x + (12 + -8x) = 68 Reorder the terms: 215 + 12 + 10x + -8x = 68 Combine like terms: 215 + 12 = 227 227 + 10x + -8x = 68 Combine like terms: 10x + -8x = 2x 227 + 2x = 68 Solving 227 + 2x = 68 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-227' to each side of the equation. 227 + -227 + 2x = 68 + -227 Combine like terms: 227 + -227 = 0 0 + 2x = 68 + -227 2x = 68 + -227 Combine like terms: 68 + -227 = -159 2x = -159 Divide each side by '2'. x = -79.5 Simplifying x = -79.5
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