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Simplifying 0.65x + 0.05(6 + -1x) = 0.10(63) 0.65x + (6 * 0.05 + -1x * 0.05) = 0.10(63) 0.65x + (0.3 + -0.05x) = 0.10(63) Reorder the terms: 0.3 + 0.65x + -0.05x = 0.10(63) Combine like terms: 0.65x + -0.05x = 0.6x 0.3 + 0.6x = 0.10(63) Multiply 0.10 * 63 0.3 + 0.6x = 6.3 Solving 0.3 + 0.6x = 6.3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + 0.6x = 6.3 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.6x = 6.3 + -0.3 0.6x = 6.3 + -0.3 Combine like terms: 6.3 + -0.3 = 6 0.6x = 6 Divide each side by '0.6'. x = 10 Simplifying x = 10
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