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Simplifying 2(5x + 20) + 2(2x + 4) = 216 Reorder the terms: 2(20 + 5x) + 2(2x + 4) = 216 (20 * 2 + 5x * 2) + 2(2x + 4) = 216 (40 + 10x) + 2(2x + 4) = 216 Reorder the terms: 40 + 10x + 2(4 + 2x) = 216 40 + 10x + (4 * 2 + 2x * 2) = 216 40 + 10x + (8 + 4x) = 216 Reorder the terms: 40 + 8 + 10x + 4x = 216 Combine like terms: 40 + 8 = 48 48 + 10x + 4x = 216 Combine like terms: 10x + 4x = 14x 48 + 14x = 216 Solving 48 + 14x = 216 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 14x = 216 + -48 Combine like terms: 48 + -48 = 0 0 + 14x = 216 + -48 14x = 216 + -48 Combine like terms: 216 + -48 = 168 14x = 168 Divide each side by '14'. x = 12 Simplifying x = 12
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