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Simplifying 2(x + 54) = x + 65 Reorder the terms: 2(54 + x) = x + 65 (54 * 2 + x * 2) = x + 65 (108 + 2x) = x + 65 Reorder the terms: 108 + 2x = 65 + x Solving 108 + 2x = 65 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 108 + 2x + -1x = 65 + x + -1x Combine like terms: 2x + -1x = 1x 108 + 1x = 65 + x + -1x Combine like terms: x + -1x = 0 108 + 1x = 65 + 0 108 + 1x = 65 Add '-108' to each side of the equation. 108 + -108 + 1x = 65 + -108 Combine like terms: 108 + -108 = 0 0 + 1x = 65 + -108 1x = 65 + -108 Combine like terms: 65 + -108 = -43 1x = -43 Divide each side by '1'. x = -43 Simplifying x = -43
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