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Simplifying 1.0x + 0.05(12 + -1x) = 0.1(63) 1.0x + (12 * 0.05 + -1x * 0.05) = 0.1(63) 1.0x + (0.6 + -0.05x) = 0.1(63) Reorder the terms: 0.6 + 1.0x + -0.05x = 0.1(63) Combine like terms: 1.0x + -0.05x = 0.95x 0.6 + 0.95x = 0.1(63) Multiply 0.1 * 63 0.6 + 0.95x = 6.3 Solving 0.6 + 0.95x = 6.3 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 + 0.95x = 6.3 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.95x = 6.3 + -0.6 0.95x = 6.3 + -0.6 Combine like terms: 6.3 + -0.6 = 5.7 0.95x = 5.7 Divide each side by '0.95'. x = 6 Simplifying x = 6
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