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Simplifying 0.65x + 0.05(12 + -1x) = 0.10(90) 0.65x + (12 * 0.05 + -1x * 0.05) = 0.10(90) 0.65x + (0.6 + -0.05x) = 0.10(90) Reorder the terms: 0.6 + 0.65x + -0.05x = 0.10(90) Combine like terms: 0.65x + -0.05x = 0.6x 0.6 + 0.6x = 0.10(90) Multiply 0.10 * 90 0.6 + 0.6x = 9 Solving 0.6 + 0.6x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6' to each side of the equation. 0.6 + -0.6 + 0.6x = 9 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.6x = 9 + -0.6 0.6x = 9 + -0.6 Combine like terms: 9 + -0.6 = 8.4 0.6x = 8.4 Divide each side by '0.6'. x = 14 Simplifying x = 14
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