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Simplifying -27 + -1(2x + 5) = 2(x + 6) + x Reorder the terms: -27 + -1(5 + 2x) = 2(x + 6) + x -27 + (5 * -1 + 2x * -1) = 2(x + 6) + x -27 + (-5 + -2x) = 2(x + 6) + x Combine like terms: -27 + -5 = -32 -32 + -2x = 2(x + 6) + x Reorder the terms: -32 + -2x = 2(6 + x) + x -32 + -2x = (6 * 2 + x * 2) + x -32 + -2x = (12 + 2x) + x Combine like terms: 2x + x = 3x -32 + -2x = 12 + 3x Solving -32 + -2x = 12 + 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. -32 + -2x + -3x = 12 + 3x + -3x Combine like terms: -2x + -3x = -5x -32 + -5x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -32 + -5x = 12 + 0 -32 + -5x = 12 Add '32' to each side of the equation. -32 + 32 + -5x = 12 + 32 Combine like terms: -32 + 32 = 0 0 + -5x = 12 + 32 -5x = 12 + 32 Combine like terms: 12 + 32 = 44 -5x = 44 Divide each side by '-5'. x = -8.8 Simplifying x = -8.8
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