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Simplifying -1[10x + -1(3x + 5)] = -4 + -1[4(3x + -4) + -3x] Reorder the terms: -1[10x + -1(5 + 3x)] = -4 + -1[4(3x + -4) + -3x] -1[10x + (5 * -1 + 3x * -1)] = -4 + -1[4(3x + -4) + -3x] -1[10x + (-5 + -3x)] = -4 + -1[4(3x + -4) + -3x] Reorder the terms: -1[-5 + 10x + -3x] = -4 + -1[4(3x + -4) + -3x] Combine like terms: 10x + -3x = 7x -1[-5 + 7x] = -4 + -1[4(3x + -4) + -3x] [-5 * -1 + 7x * -1] = -4 + -1[4(3x + -4) + -3x] [5 + -7x] = -4 + -1[4(3x + -4) + -3x] Reorder the terms: 5 + -7x = -4 + -1[4(-4 + 3x) + -3x] 5 + -7x = -4 + -1[(-4 * 4 + 3x * 4) + -3x] 5 + -7x = -4 + -1[(-16 + 12x) + -3x] Combine like terms: 12x + -3x = 9x 5 + -7x = -4 + -1[-16 + 9x] 5 + -7x = -4 + [-16 * -1 + 9x * -1] 5 + -7x = -4 + [16 + -9x] Combine like terms: -4 + 16 = 12 5 + -7x = 12 + -9x Solving 5 + -7x = 12 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 5 + -7x + 9x = 12 + -9x + 9x Combine like terms: -7x + 9x = 2x 5 + 2x = 12 + -9x + 9x Combine like terms: -9x + 9x = 0 5 + 2x = 12 + 0 5 + 2x = 12 Add '-5' to each side of the equation. 5 + -5 + 2x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 12 + -5 2x = 12 + -5 Combine like terms: 12 + -5 = 7 2x = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5
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