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Simplifying 129 = 0.5(35 + x) 129 = (35 * 0.5 + x * 0.5) 129 = (17.5 + 0.5x) Solving 129 = 17.5 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 129 + -0.5x = 17.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 129 + -0.5x = 17.5 + 0.0 129 + -0.5x = 17.5 Add '-129' to each side of the equation. 129 + -129 + -0.5x = 17.5 + -129 Combine like terms: 129 + -129 = 0 0 + -0.5x = 17.5 + -129 -0.5x = 17.5 + -129 Combine like terms: 17.5 + -129 = -111.5 -0.5x = -111.5 Divide each side by '-0.5'. x = 223 Simplifying x = 223
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