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Simplifying 6x + -1[5 + -1(2x + 7) + -1(8 + -3x)] = 0 Reorder the terms: 6x + -1[5 + -1(7 + 2x) + -1(8 + -3x)] = 0 6x + -1[5 + (7 * -1 + 2x * -1) + -1(8 + -3x)] = 0 6x + -1[5 + (-7 + -2x) + -1(8 + -3x)] = 0 6x + -1[5 + -7 + -2x + (8 * -1 + -3x * -1)] = 0 6x + -1[5 + -7 + -2x + (-8 + 3x)] = 0 Reorder the terms: 6x + -1[5 + -7 + -8 + -2x + 3x] = 0 Combine like terms: 5 + -7 = -2 6x + -1[-2 + -8 + -2x + 3x] = 0 Combine like terms: -2 + -8 = -10 6x + -1[-10 + -2x + 3x] = 0 Combine like terms: -2x + 3x = 1x 6x + -1[-10 + 1x] = 0 6x + [-10 * -1 + 1x * -1] = 0 6x + [10 + -1x] = 0 Reorder the terms: 10 + 6x + -1x = 0 Combine like terms: 6x + -1x = 5x 10 + 5x = 0 Solving 10 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 5x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = 0 + -10 5x = 0 + -10 Combine like terms: 0 + -10 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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