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Simplifying x + 0.005(12 + -1x) = 0.1(63) x + (12 * 0.005 + -1x * 0.005) = 0.1(63) x + (0.06 + -0.005x) = 0.1(63) Reorder the terms: 0.06 + x + -0.005x = 0.1(63) Combine like terms: x + -0.005x = 0.995x 0.06 + 0.995x = 0.1(63) Multiply 0.1 * 63 0.06 + 0.995x = 6.3 Solving 0.06 + 0.995x = 6.3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.06' to each side of the equation. 0.06 + -0.06 + 0.995x = 6.3 + -0.06 Combine like terms: 0.06 + -0.06 = 0.00 0.00 + 0.995x = 6.3 + -0.06 0.995x = 6.3 + -0.06 Combine like terms: 6.3 + -0.06 = 6.24 0.995x = 6.24 Divide each side by '0.995'. x = 6.271356784 Simplifying x = 6.271356784
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