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Simplifying 5 + -1[x + 6 + -1(3 + -1x)] + -10x = 6x + -1[(3x + 2) + -1x] + -17x 5 + -1[x + 6 + (3 * -1 + -1x * -1)] + -10x = 6x + -1[(3x + 2) + -1x] + -17x 5 + -1[x + 6 + (-3 + 1x)] + -10x = 6x + -1[(3x + 2) + -1x] + -17x Reorder the terms: 5 + -1[6 + -3 + x + 1x] + -10x = 6x + -1[(3x + 2) + -1x] + -17x Combine like terms: 6 + -3 = 3 5 + -1[3 + x + 1x] + -10x = 6x + -1[(3x + 2) + -1x] + -17x Combine like terms: x + 1x = 2x 5 + -1[3 + 2x] + -10x = 6x + -1[(3x + 2) + -1x] + -17x 5 + [3 * -1 + 2x * -1] + -10x = 6x + -1[(3x + 2) + -1x] + -17x 5 + [-3 + -2x] + -10x = 6x + -1[(3x + 2) + -1x] + -17x Combine like terms: 5 + -3 = 2 2 + -2x + -10x = 6x + -1[(3x + 2) + -1x] + -17x Combine like terms: -2x + -10x = -12x 2 + -12x = 6x + -1[(3x + 2) + -1x] + -17x Reorder the terms: 2 + -12x = 6x + -1[(2 + 3x) + -1x] + -17x Remove parenthesis around (2 + 3x) 2 + -12x = 6x + -1[2 + 3x + -1x] + -17x Combine like terms: 3x + -1x = 2x 2 + -12x = 6x + -1[2 + 2x] + -17x 2 + -12x = 6x + [2 * -1 + 2x * -1] + -17x 2 + -12x = 6x + [-2 + -2x] + -17x Reorder the terms: 2 + -12x = -2 + 6x + -2x + -17x Combine like terms: 6x + -2x = 4x 2 + -12x = -2 + 4x + -17x Combine like terms: 4x + -17x = -13x 2 + -12x = -2 + -13x Solving 2 + -12x = -2 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 2 + -12x + 13x = -2 + -13x + 13x Combine like terms: -12x + 13x = 1x 2 + 1x = -2 + -13x + 13x Combine like terms: -13x + 13x = 0 2 + 1x = -2 + 0 2 + 1x = -2 Add '-2' to each side of the equation. 2 + -2 + 1x = -2 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = -2 + -2 1x = -2 + -2 Combine like terms: -2 + -2 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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