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Simplifying -3(1 + 2x) + 5(3 + -8x) = -80 (1 * -3 + 2x * -3) + 5(3 + -8x) = -80 (-3 + -6x) + 5(3 + -8x) = -80 -3 + -6x + (3 * 5 + -8x * 5) = -80 -3 + -6x + (15 + -40x) = -80 Reorder the terms: -3 + 15 + -6x + -40x = -80 Combine like terms: -3 + 15 = 12 12 + -6x + -40x = -80 Combine like terms: -6x + -40x = -46x 12 + -46x = -80 Solving 12 + -46x = -80 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -46x = -80 + -12 Combine like terms: 12 + -12 = 0 0 + -46x = -80 + -12 -46x = -80 + -12 Combine like terms: -80 + -12 = -92 -46x = -92 Divide each side by '-46'. x = 2 Simplifying x = 2
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