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Simplifying -3(-4 + 5x) = 2(1 + -8x) (-4 * -3 + 5x * -3) = 2(1 + -8x) (12 + -15x) = 2(1 + -8x) 12 + -15x = (1 * 2 + -8x * 2) 12 + -15x = (2 + -16x) Solving 12 + -15x = 2 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 12 + -15x + 16x = 2 + -16x + 16x Combine like terms: -15x + 16x = 1x 12 + 1x = 2 + -16x + 16x Combine like terms: -16x + 16x = 0 12 + 1x = 2 + 0 12 + 1x = 2 Add '-12' to each side of the equation. 12 + -12 + 1x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 2 + -12 1x = 2 + -12 Combine like terms: 2 + -12 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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