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Simplifying 2(x + 12) = 27(6) + -120 Reorder the terms: 2(12 + x) = 27(6) + -120 (12 * 2 + x * 2) = 27(6) + -120 (24 + 2x) = 27(6) + -120 Multiply 27 * 6 24 + 2x = 162 + -120 Combine like terms: 162 + -120 = 42 24 + 2x = 42 Solving 24 + 2x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 2x = 42 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 42 + -24 2x = 42 + -24 Combine like terms: 42 + -24 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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