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Simplifying -29 + -1[2 + 5x + -7(x + 2)] = -7(2x + -5) + -1[5(x + -1) + -3x + 3] Reorder the terms: -29 + -1[2 + 5x + -7(2 + x)] = -7(2x + -5) + -1[5(x + -1) + -3x + 3] -29 + -1[2 + 5x + (2 * -7 + x * -7)] = -7(2x + -5) + -1[5(x + -1) + -3x + 3] -29 + -1[2 + 5x + (-14 + -7x)] = -7(2x + -5) + -1[5(x + -1) + -3x + 3] Reorder the terms: -29 + -1[2 + -14 + 5x + -7x] = -7(2x + -5) + -1[5(x + -1) + -3x + 3] Combine like terms: 2 + -14 = -12 -29 + -1[-12 + 5x + -7x] = -7(2x + -5) + -1[5(x + -1) + -3x + 3] Combine like terms: 5x + -7x = -2x -29 + -1[-12 + -2x] = -7(2x + -5) + -1[5(x + -1) + -3x + 3] -29 + [-12 * -1 + -2x * -1] = -7(2x + -5) + -1[5(x + -1) + -3x + 3] -29 + [12 + 2x] = -7(2x + -5) + -1[5(x + -1) + -3x + 3] Combine like terms: -29 + 12 = -17 -17 + 2x = -7(2x + -5) + -1[5(x + -1) + -3x + 3] Reorder the terms: -17 + 2x = -7(-5 + 2x) + -1[5(x + -1) + -3x + 3] -17 + 2x = (-5 * -7 + 2x * -7) + -1[5(x + -1) + -3x + 3] -17 + 2x = (35 + -14x) + -1[5(x + -1) + -3x + 3] Reorder the terms: -17 + 2x = 35 + -14x + -1[5(-1 + x) + -3x + 3] -17 + 2x = 35 + -14x + -1[(-1 * 5 + x * 5) + -3x + 3] -17 + 2x = 35 + -14x + -1[(-5 + 5x) + -3x + 3] Reorder the terms: -17 + 2x = 35 + -14x + -1[-5 + 3 + 5x + -3x] Combine like terms: -5 + 3 = -2 -17 + 2x = 35 + -14x + -1[-2 + 5x + -3x] Combine like terms: 5x + -3x = 2x -17 + 2x = 35 + -14x + -1[-2 + 2x] -17 + 2x = 35 + -14x + [-2 * -1 + 2x * -1] -17 + 2x = 35 + -14x + [2 + -2x] Reorder the terms: -17 + 2x = 35 + 2 + -14x + -2x Combine like terms: 35 + 2 = 37 -17 + 2x = 37 + -14x + -2x Combine like terms: -14x + -2x = -16x -17 + 2x = 37 + -16x Solving -17 + 2x = 37 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -17 + 2x + 16x = 37 + -16x + 16x Combine like terms: 2x + 16x = 18x -17 + 18x = 37 + -16x + 16x Combine like terms: -16x + 16x = 0 -17 + 18x = 37 + 0 -17 + 18x = 37 Add '17' to each side of the equation. -17 + 17 + 18x = 37 + 17 Combine like terms: -17 + 17 = 0 0 + 18x = 37 + 17 18x = 37 + 17 Combine like terms: 37 + 17 = 54 18x = 54 Divide each side by '18'. x = 3 Simplifying x = 3
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