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Simplifying 27 + -1(2x + 9) = 2(x + 4) + x Reorder the terms: 27 + -1(9 + 2x) = 2(x + 4) + x 27 + (9 * -1 + 2x * -1) = 2(x + 4) + x 27 + (-9 + -2x) = 2(x + 4) + x Combine like terms: 27 + -9 = 18 18 + -2x = 2(x + 4) + x Reorder the terms: 18 + -2x = 2(4 + x) + x 18 + -2x = (4 * 2 + x * 2) + x 18 + -2x = (8 + 2x) + x Combine like terms: 2x + x = 3x 18 + -2x = 8 + 3x Solving 18 + -2x = 8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 18 + -2x + -3x = 8 + 3x + -3x Combine like terms: -2x + -3x = -5x 18 + -5x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + -5x = 8 + 0 18 + -5x = 8 Add '-18' to each side of the equation. 18 + -18 + -5x = 8 + -18 Combine like terms: 18 + -18 = 0 0 + -5x = 8 + -18 -5x = 8 + -18 Combine like terms: 8 + -18 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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