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Simplifying 2(2x + 2) + 2(x + 34) = 312 Reorder the terms: 2(2 + 2x) + 2(x + 34) = 312 (2 * 2 + 2x * 2) + 2(x + 34) = 312 (4 + 4x) + 2(x + 34) = 312 Reorder the terms: 4 + 4x + 2(34 + x) = 312 4 + 4x + (34 * 2 + x * 2) = 312 4 + 4x + (68 + 2x) = 312 Reorder the terms: 4 + 68 + 4x + 2x = 312 Combine like terms: 4 + 68 = 72 72 + 4x + 2x = 312 Combine like terms: 4x + 2x = 6x 72 + 6x = 312 Solving 72 + 6x = 312 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + 6x = 312 + -72 Combine like terms: 72 + -72 = 0 0 + 6x = 312 + -72 6x = 312 + -72 Combine like terms: 312 + -72 = 240 6x = 240 Divide each side by '6'. x = 40 Simplifying x = 40
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