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Simplifying 8x + -1[5x + 3(2x + -1)] = 0 Reorder the terms: 8x + -1[5x + 3(-1 + 2x)] = 0 8x + -1[5x + (-1 * 3 + 2x * 3)] = 0 8x + -1[5x + (-3 + 6x)] = 0 Reorder the terms: 8x + -1[-3 + 5x + 6x] = 0 Combine like terms: 5x + 6x = 11x 8x + -1[-3 + 11x] = 0 8x + [-3 * -1 + 11x * -1] = 0 8x + [3 + -11x] = 0 Reorder the terms: 3 + 8x + -11x = 0 Combine like terms: 8x + -11x = -3x 3 + -3x = 0 Solving 3 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -3x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = 0 + -3 -3x = 0 + -3 Combine like terms: 0 + -3 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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