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Simplifying 0.15x + 0.10(230 + -1x) = 26.5 0.15x + (230 * 0.10 + -1x * 0.10) = 26.5 0.15x + (23 + -0.1x) = 26.5 Reorder the terms: 23 + 0.15x + -0.1x = 26.5 Combine like terms: 0.15x + -0.1x = 0.05x 23 + 0.05x = 26.5 Solving 23 + 0.05x = 26.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 0.05x = 26.5 + -23 Combine like terms: 23 + -23 = 0 0 + 0.05x = 26.5 + -23 0.05x = 26.5 + -23 Combine like terms: 26.5 + -23 = 3.5 0.05x = 3.5 Divide each side by '0.05'. x = 70 Simplifying x = 70
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