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Simplifying 12.5 + 0.70x = 0.34(50 + x) 12.5 + 0.70x = (50 * 0.34 + x * 0.34) 12.5 + 0.70x = (17 + 0.34x) Solving 12.5 + 0.70x = 17 + 0.34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.34x' to each side of the equation. 12.5 + 0.70x + -0.34x = 17 + 0.34x + -0.34x Combine like terms: 0.70x + -0.34x = 0.36x 12.5 + 0.36x = 17 + 0.34x + -0.34x Combine like terms: 0.34x + -0.34x = 0.00 12.5 + 0.36x = 17 + 0.00 12.5 + 0.36x = 17 Add '-12.5' to each side of the equation. 12.5 + -12.5 + 0.36x = 17 + -12.5 Combine like terms: 12.5 + -12.5 = 0.0 0.0 + 0.36x = 17 + -12.5 0.36x = 17 + -12.5 Combine like terms: 17 + -12.5 = 4.5 0.36x = 4.5 Divide each side by '0.36'. x = 12.5 Simplifying x = 12.5
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