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Simplifying 282 = 2(x + 65) + 2(x) Reorder the terms: 282 = 2(65 + x) + 2(x) 282 = (65 * 2 + x * 2) + 2(x) 282 = (130 + 2x) + 2(x) Combine like terms: 2x + 2x = 4x 282 = 130 + 4x Solving 282 = 130 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 282 + -4x = 130 + 4x + -4x Combine like terms: 4x + -4x = 0 282 + -4x = 130 + 0 282 + -4x = 130 Add '-282' to each side of the equation. 282 + -282 + -4x = 130 + -282 Combine like terms: 282 + -282 = 0 0 + -4x = 130 + -282 -4x = 130 + -282 Combine like terms: 130 + -282 = -152 -4x = -152 Divide each side by '-4'. x = 38 Simplifying x = 38
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