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Simplifying 4x + -1[7 + -1(x + 15)] = 11 + -1[5x + -1(3x + -17)] Reorder the terms: 4x + -1[7 + -1(15 + x)] = 11 + -1[5x + -1(3x + -17)] 4x + -1[7 + (15 * -1 + x * -1)] = 11 + -1[5x + -1(3x + -17)] 4x + -1[7 + (-15 + -1x)] = 11 + -1[5x + -1(3x + -17)] Combine like terms: 7 + -15 = -8 4x + -1[-8 + -1x] = 11 + -1[5x + -1(3x + -17)] 4x + [-8 * -1 + -1x * -1] = 11 + -1[5x + -1(3x + -17)] 4x + [8 + 1x] = 11 + -1[5x + -1(3x + -17)] Reorder the terms: 8 + 4x + 1x = 11 + -1[5x + -1(3x + -17)] Combine like terms: 4x + 1x = 5x 8 + 5x = 11 + -1[5x + -1(3x + -17)] Reorder the terms: 8 + 5x = 11 + -1[5x + -1(-17 + 3x)] 8 + 5x = 11 + -1[5x + (-17 * -1 + 3x * -1)] 8 + 5x = 11 + -1[5x + (17 + -3x)] Reorder the terms: 8 + 5x = 11 + -1[17 + 5x + -3x] Combine like terms: 5x + -3x = 2x 8 + 5x = 11 + -1[17 + 2x] 8 + 5x = 11 + [17 * -1 + 2x * -1] 8 + 5x = 11 + [-17 + -2x] Combine like terms: 11 + -17 = -6 8 + 5x = -6 + -2x Solving 8 + 5x = -6 + -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. 8 + 5x + 2x = -6 + -2x + 2x Combine like terms: 5x + 2x = 7x 8 + 7x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 7x = -6 + 0 8 + 7x = -6 Add '-8' to each side of the equation. 8 + -8 + 7x = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = -6 + -8 7x = -6 + -8 Combine like terms: -6 + -8 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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