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Simplifying 2(x + 6) = 5x + -27 Reorder the terms: 2(6 + x) = 5x + -27 (6 * 2 + x * 2) = 5x + -27 (12 + 2x) = 5x + -27 Reorder the terms: 12 + 2x = -27 + 5x Solving 12 + 2x = -27 + 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. 12 + 2x + -5x = -27 + 5x + -5x Combine like terms: 2x + -5x = -3x 12 + -3x = -27 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -3x = -27 + 0 12 + -3x = -27 Add '-12' to each side of the equation. 12 + -12 + -3x = -27 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = -27 + -12 -3x = -27 + -12 Combine like terms: -27 + -12 = -39 -3x = -39 Divide each side by '-3'. x = 13 Simplifying x = 13
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