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Simplifying 27 + -17 = 2(x + -9) Combine like terms: 27 + -17 = 10 10 = 2(x + -9) Reorder the terms: 10 = 2(-9 + x) 10 = (-9 * 2 + x * 2) 10 = (-18 + 2x) Solving 10 = -18 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 10 + -2x = -18 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + -2x = -18 + 0 10 + -2x = -18 Add '-10' to each side of the equation. 10 + -10 + -2x = -18 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = -18 + -10 -2x = -18 + -10 Combine like terms: -18 + -10 = -28 -2x = -28 Divide each side by '-2'. x = 14 Simplifying x = 14
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