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Simplifying 3x + [2x + -1(-1x + -6)] = -1[x + -1(5 + -1x)] + -6 Reorder the terms: 3x + [2x + -1(-6 + -1x)] = -1[x + -1(5 + -1x)] + -6 3x + [2x + (-6 * -1 + -1x * -1)] = -1[x + -1(5 + -1x)] + -6 3x + [2x + (6 + 1x)] = -1[x + -1(5 + -1x)] + -6 Reorder the terms: 3x + [6 + 2x + 1x] = -1[x + -1(5 + -1x)] + -6 Combine like terms: 2x + 1x = 3x 3x + [6 + 3x] = -1[x + -1(5 + -1x)] + -6 Remove brackets around [6 + 3x] 3x + 6 + 3x = -1[x + -1(5 + -1x)] + -6 Reorder the terms: 6 + 3x + 3x = -1[x + -1(5 + -1x)] + -6 Combine like terms: 3x + 3x = 6x 6 + 6x = -1[x + -1(5 + -1x)] + -6 6 + 6x = -1[x + (5 * -1 + -1x * -1)] + -6 6 + 6x = -1[x + (-5 + 1x)] + -6 Reorder the terms: 6 + 6x = -1[-5 + x + 1x] + -6 Combine like terms: x + 1x = 2x 6 + 6x = -1[-5 + 2x] + -6 6 + 6x = [-5 * -1 + 2x * -1] + -6 6 + 6x = [5 + -2x] + -6 Reorder the terms: 6 + 6x = 5 + -6 + -2x Combine like terms: 5 + -6 = -1 6 + 6x = -1 + -2x Solving 6 + 6x = -1 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + 6x + 2x = -1 + -2x + 2x Combine like terms: 6x + 2x = 8x 6 + 8x = -1 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 8x = -1 + 0 6 + 8x = -1 Add '-6' to each side of the equation. 6 + -6 + 8x = -1 + -6 Combine like terms: 6 + -6 = 0 0 + 8x = -1 + -6 8x = -1 + -6 Combine like terms: -1 + -6 = -7 8x = -7 Divide each side by '8'. x = -0.875 Simplifying x = -0.875
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