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Simplifying -1[10x + -2(2x + 10)] = -3 + -1[4(3x + -4) + -2x] Reorder the terms: -1[10x + -2(10 + 2x)] = -3 + -1[4(3x + -4) + -2x] -1[10x + (10 * -2 + 2x * -2)] = -3 + -1[4(3x + -4) + -2x] -1[10x + (-20 + -4x)] = -3 + -1[4(3x + -4) + -2x] Reorder the terms: -1[-20 + 10x + -4x] = -3 + -1[4(3x + -4) + -2x] Combine like terms: 10x + -4x = 6x -1[-20 + 6x] = -3 + -1[4(3x + -4) + -2x] [-20 * -1 + 6x * -1] = -3 + -1[4(3x + -4) + -2x] [20 + -6x] = -3 + -1[4(3x + -4) + -2x] Reorder the terms: 20 + -6x = -3 + -1[4(-4 + 3x) + -2x] 20 + -6x = -3 + -1[(-4 * 4 + 3x * 4) + -2x] 20 + -6x = -3 + -1[(-16 + 12x) + -2x] Combine like terms: 12x + -2x = 10x 20 + -6x = -3 + -1[-16 + 10x] 20 + -6x = -3 + [-16 * -1 + 10x * -1] 20 + -6x = -3 + [16 + -10x] Combine like terms: -3 + 16 = 13 20 + -6x = 13 + -10x Solving 20 + -6x = 13 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 20 + -6x + 10x = 13 + -10x + 10x Combine like terms: -6x + 10x = 4x 20 + 4x = 13 + -10x + 10x Combine like terms: -10x + 10x = 0 20 + 4x = 13 + 0 20 + 4x = 13 Add '-20' to each side of the equation. 20 + -20 + 4x = 13 + -20 Combine like terms: 20 + -20 = 0 0 + 4x = 13 + -20 4x = 13 + -20 Combine like terms: 13 + -20 = -7 4x = -7 Divide each side by '4'. x = -1.75 Simplifying x = -1.75
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