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Simplifying 4(0.5x + 17) = 164 Reorder the terms: 4(17 + 0.5x) = 164 (17 * 4 + 0.5x * 4) = 164 (68 + 2x) = 164 Solving 68 + 2x = 164 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-68' to each side of the equation. 68 + -68 + 2x = 164 + -68 Combine like terms: 68 + -68 = 0 0 + 2x = 164 + -68 2x = 164 + -68 Combine like terms: 164 + -68 = 96 2x = 96 Divide each side by '2'. x = 48 Simplifying x = 48
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