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Simplifying 2(-5x + 5) = -5[-3x + -4(-1x + -1)] Reorder the terms: 2(5 + -5x) = -5[-3x + -4(-1x + -1)] (5 * 2 + -5x * 2) = -5[-3x + -4(-1x + -1)] (10 + -10x) = -5[-3x + -4(-1x + -1)] Reorder the terms: 10 + -10x = -5[-3x + -4(-1 + -1x)] 10 + -10x = -5[-3x + (-1 * -4 + -1x * -4)] 10 + -10x = -5[-3x + (4 + 4x)] Reorder the terms: 10 + -10x = -5[4 + -3x + 4x] Combine like terms: -3x + 4x = 1x 10 + -10x = -5[4 + 1x] 10 + -10x = [4 * -5 + 1x * -5] 10 + -10x = [-20 + -5x] Solving 10 + -10x = -20 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 10 + -10x + 5x = -20 + -5x + 5x Combine like terms: -10x + 5x = -5x 10 + -5x = -20 + -5x + 5x Combine like terms: -5x + 5x = 0 10 + -5x = -20 + 0 10 + -5x = -20 Add '-10' to each side of the equation. 10 + -10 + -5x = -20 + -10 Combine like terms: 10 + -10 = 0 0 + -5x = -20 + -10 -5x = -20 + -10 Combine like terms: -20 + -10 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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