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Simplifying 0.09x + 0.05(10 + -1x) = 0.10(56) 0.09x + (10 * 0.05 + -1x * 0.05) = 0.10(56) 0.09x + (0.5 + -0.05x) = 0.10(56) Reorder the terms: 0.5 + 0.09x + -0.05x = 0.10(56) Combine like terms: 0.09x + -0.05x = 0.04x 0.5 + 0.04x = 0.10(56) Multiply 0.10 * 56 0.5 + 0.04x = 5.6 Solving 0.5 + 0.04x = 5.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.04x = 5.6 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.04x = 5.6 + -0.5 0.04x = 5.6 + -0.5 Combine like terms: 5.6 + -0.5 = 5.1 0.04x = 5.1 Divide each side by '0.04'. x = 127.5 Simplifying x = 127.5
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