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Simplifying 4x + 2(50 + x) = 172 4x + (50 * 2 + x * 2) = 172 4x + (100 + 2x) = 172 Reorder the terms: 100 + 4x + 2x = 172 Combine like terms: 4x + 2x = 6x 100 + 6x = 172 Solving 100 + 6x = 172 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + 6x = 172 + -100 Combine like terms: 100 + -100 = 0 0 + 6x = 172 + -100 6x = 172 + -100 Combine like terms: 172 + -100 = 72 6x = 72 Divide each side by '6'. x = 12 Simplifying x = 12
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