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Simplifying -1[4x + 3 + -1(7x + 8) + -8] = 9x + 7 + -4x Reorder the terms: -1[4x + 3 + -1(8 + 7x) + -8] = 9x + 7 + -4x -1[4x + 3 + (8 * -1 + 7x * -1) + -8] = 9x + 7 + -4x -1[4x + 3 + (-8 + -7x) + -8] = 9x + 7 + -4x Reorder the terms: -1[3 + -8 + -8 + 4x + -7x] = 9x + 7 + -4x Combine like terms: 3 + -8 = -5 -1[-5 + -8 + 4x + -7x] = 9x + 7 + -4x Combine like terms: -5 + -8 = -13 -1[-13 + 4x + -7x] = 9x + 7 + -4x Combine like terms: 4x + -7x = -3x -1[-13 + -3x] = 9x + 7 + -4x [-13 * -1 + -3x * -1] = 9x + 7 + -4x [13 + 3x] = 9x + 7 + -4x Reorder the terms: 13 + 3x = 7 + 9x + -4x Combine like terms: 9x + -4x = 5x 13 + 3x = 7 + 5x Solving 13 + 3x = 7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 13 + 3x + -5x = 7 + 5x + -5x Combine like terms: 3x + -5x = -2x 13 + -2x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 13 + -2x = 7 + 0 13 + -2x = 7 Add '-13' to each side of the equation. 13 + -13 + -2x = 7 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = 7 + -13 -2x = 7 + -13 Combine like terms: 7 + -13 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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