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Simplifying x + -1[2x + -1(3 + -3x)] = 10x + [-1(4x + 2)] x + -1[2x + (3 * -1 + -3x * -1)] = 10x + [-1(4x + 2)] x + -1[2x + (-3 + 3x)] = 10x + [-1(4x + 2)] Reorder the terms: x + -1[-3 + 2x + 3x] = 10x + [-1(4x + 2)] Combine like terms: 2x + 3x = 5x x + -1[-3 + 5x] = 10x + [-1(4x + 2)] x + [-3 * -1 + 5x * -1] = 10x + [-1(4x + 2)] x + [3 + -5x] = 10x + [-1(4x + 2)] Reorder the terms: 3 + x + -5x = 10x + [-1(4x + 2)] Combine like terms: x + -5x = -4x 3 + -4x = 10x + [-1(4x + 2)] Reorder the terms: 3 + -4x = 10x + [-1(2 + 4x)] 3 + -4x = 10x + [(2 * -1 + 4x * -1)] 3 + -4x = 10x + [(-2 + -4x)] 3 + -4x = 10x + [-2 + -4x] Remove brackets around [-2 + -4x] 3 + -4x = 10x + -2 + -4x Reorder the terms: 3 + -4x = -2 + 10x + -4x Combine like terms: 10x + -4x = 6x 3 + -4x = -2 + 6x Solving 3 + -4x = -2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 3 + -4x + -6x = -2 + 6x + -6x Combine like terms: -4x + -6x = -10x 3 + -10x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + -10x = -2 + 0 3 + -10x = -2 Add '-3' to each side of the equation. 3 + -3 + -10x = -2 + -3 Combine like terms: 3 + -3 = 0 0 + -10x = -2 + -3 -10x = -2 + -3 Combine like terms: -2 + -3 = -5 -10x = -5 Divide each side by '-10'. x = 0.5 Simplifying x = 0.5
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