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Simplifying 5(-1x + 2) = -4(2x + -4) Reorder the terms: 5(2 + -1x) = -4(2x + -4) (2 * 5 + -1x * 5) = -4(2x + -4) (10 + -5x) = -4(2x + -4) Reorder the terms: 10 + -5x = -4(-4 + 2x) 10 + -5x = (-4 * -4 + 2x * -4) 10 + -5x = (16 + -8x) Solving 10 + -5x = 16 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 10 + -5x + 8x = 16 + -8x + 8x Combine like terms: -5x + 8x = 3x 10 + 3x = 16 + -8x + 8x Combine like terms: -8x + 8x = 0 10 + 3x = 16 + 0 10 + 3x = 16 Add '-10' to each side of the equation. 10 + -10 + 3x = 16 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 16 + -10 3x = 16 + -10 Combine like terms: 16 + -10 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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