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Simplifying 27 + -13 = 2(x + -5) Combine like terms: 27 + -13 = 14 14 = 2(x + -5) Reorder the terms: 14 = 2(-5 + x) 14 = (-5 * 2 + x * 2) 14 = (-10 + 2x) Solving 14 = -10 + 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. 14 + -2x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + -2x = -10 + 0 14 + -2x = -10 Add '-14' to each side of the equation. 14 + -14 + -2x = -10 + -14 Combine like terms: 14 + -14 = 0 0 + -2x = -10 + -14 -2x = -10 + -14 Combine like terms: -10 + -14 = -24 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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