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Simplifying 2(x + 6) = 7x + 27 Reorder the terms: 2(6 + x) = 7x + 27 (6 * 2 + x * 2) = 7x + 27 (12 + 2x) = 7x + 27 Reorder the terms: 12 + 2x = 27 + 7x Solving 12 + 2x = 27 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 12 + 2x + -7x = 27 + 7x + -7x Combine like terms: 2x + -7x = -5x 12 + -5x = 27 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + -5x = 27 + 0 12 + -5x = 27 Add '-12' to each side of the equation. 12 + -12 + -5x = 27 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 27 + -12 -5x = 27 + -12 Combine like terms: 27 + -12 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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