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Simplifying 11 + -1(3x + -6) + 2(4x + 5) + -1x = x Reorder the terms: 11 + -1(-6 + 3x) + 2(4x + 5) + -1x = x 11 + (-6 * -1 + 3x * -1) + 2(4x + 5) + -1x = x 11 + (6 + -3x) + 2(4x + 5) + -1x = x Reorder the terms: 11 + 6 + -3x + 2(5 + 4x) + -1x = x 11 + 6 + -3x + (5 * 2 + 4x * 2) + -1x = x 11 + 6 + -3x + (10 + 8x) + -1x = x Reorder the terms: 11 + 6 + 10 + -3x + 8x + -1x = x Combine like terms: 11 + 6 = 17 17 + 10 + -3x + 8x + -1x = x Combine like terms: 17 + 10 = 27 27 + -3x + 8x + -1x = x Combine like terms: -3x + 8x = 5x 27 + 5x + -1x = x Combine like terms: 5x + -1x = 4x 27 + 4x = x Solving 27 + 4x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 27 + 4x + -1x = x + -1x Combine like terms: 4x + -1x = 3x 27 + 3x = x + -1x Combine like terms: x + -1x = 0 27 + 3x = 0 Add '-27' to each side of the equation. 27 + -27 + 3x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 3x = 0 + -27 3x = 0 + -27 Combine like terms: 0 + -27 = -27 3x = -27 Divide each side by '3'. x = -9 Simplifying x = -9
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