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Simplifying 7 + -1[5x + 2(4x + -1)] = 2x + -3(x + 9) Reorder the terms: 7 + -1[5x + 2(-1 + 4x)] = 2x + -3(x + 9) 7 + -1[5x + (-1 * 2 + 4x * 2)] = 2x + -3(x + 9) 7 + -1[5x + (-2 + 8x)] = 2x + -3(x + 9) Reorder the terms: 7 + -1[-2 + 5x + 8x] = 2x + -3(x + 9) Combine like terms: 5x + 8x = 13x 7 + -1[-2 + 13x] = 2x + -3(x + 9) 7 + [-2 * -1 + 13x * -1] = 2x + -3(x + 9) 7 + [2 + -13x] = 2x + -3(x + 9) Combine like terms: 7 + 2 = 9 9 + -13x = 2x + -3(x + 9) Reorder the terms: 9 + -13x = 2x + -3(9 + x) 9 + -13x = 2x + (9 * -3 + x * -3) 9 + -13x = 2x + (-27 + -3x) Reorder the terms: 9 + -13x = -27 + 2x + -3x Combine like terms: 2x + -3x = -1x 9 + -13x = -27 + -1x Solving 9 + -13x = -27 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 9 + -13x + x = -27 + -1x + x Combine like terms: -13x + x = -12x 9 + -12x = -27 + -1x + x Combine like terms: -1x + x = 0 9 + -12x = -27 + 0 9 + -12x = -27 Add '-9' to each side of the equation. 9 + -9 + -12x = -27 + -9 Combine like terms: 9 + -9 = 0 0 + -12x = -27 + -9 -12x = -27 + -9 Combine like terms: -27 + -9 = -36 -12x = -36 Divide each side by '-12'. x = 3 Simplifying x = 3
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