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Simplifying 5[-1(-2x + -1)] = 20x + 15 Reorder the terms: 5[-1(-1 + -2x)] = 20x + 15 5[(-1 * -1 + -2x * -1)] = 20x + 15 5[(1 + 2x)] = 20x + 15 [1 * 5 + 2x * 5] = 20x + 15 [5 + 10x] = 20x + 15 Reorder the terms: 5 + 10x = 15 + 20x Solving 5 + 10x = 15 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 5 + 10x + -20x = 15 + 20x + -20x Combine like terms: 10x + -20x = -10x 5 + -10x = 15 + 20x + -20x Combine like terms: 20x + -20x = 0 5 + -10x = 15 + 0 5 + -10x = 15 Add '-5' to each side of the equation. 5 + -5 + -10x = 15 + -5 Combine like terms: 5 + -5 = 0 0 + -10x = 15 + -5 -10x = 15 + -5 Combine like terms: 15 + -5 = 10 -10x = 10 Divide each side by '-10'. x = -1 Simplifying x = -1
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