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Simplifying 5[1 + -1(3 + -1x)] = 3(5x + 2) + -7 5[1 + (3 * -1 + -1x * -1)] = 3(5x + 2) + -7 5[1 + (-3 + 1x)] = 3(5x + 2) + -7 Combine like terms: 1 + -3 = -2 5[-2 + 1x] = 3(5x + 2) + -7 [-2 * 5 + 1x * 5] = 3(5x + 2) + -7 [-10 + 5x] = 3(5x + 2) + -7 Reorder the terms: -10 + 5x = 3(2 + 5x) + -7 -10 + 5x = (2 * 3 + 5x * 3) + -7 -10 + 5x = (6 + 15x) + -7 Reorder the terms: -10 + 5x = 6 + -7 + 15x Combine like terms: 6 + -7 = -1 -10 + 5x = -1 + 15x Solving -10 + 5x = -1 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -10 + 5x + -15x = -1 + 15x + -15x Combine like terms: 5x + -15x = -10x -10 + -10x = -1 + 15x + -15x Combine like terms: 15x + -15x = 0 -10 + -10x = -1 + 0 -10 + -10x = -1 Add '10' to each side of the equation. -10 + 10 + -10x = -1 + 10 Combine like terms: -10 + 10 = 0 0 + -10x = -1 + 10 -10x = -1 + 10 Combine like terms: -1 + 10 = 9 -10x = 9 Divide each side by '-10'. x = -0.9 Simplifying x = -0.9
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