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Simplifying 1.00x + 0.5(12 + -1x) = 0.10(63) 1.00x + (12 * 0.5 + -1x * 0.5) = 0.10(63) 1.00x + (6 + -0.5x) = 0.10(63) Reorder the terms: 6 + 1.00x + -0.5x = 0.10(63) Combine like terms: 1.00x + -0.5x = 0.5x 6 + 0.5x = 0.10(63) Multiply 0.10 * 63 6 + 0.5x = 6.3 Solving 6 + 0.5x = 6.3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 0.5x = 6.3 + -6 Combine like terms: 6 + -6 = 0 0 + 0.5x = 6.3 + -6 0.5x = 6.3 + -6 Combine like terms: 6.3 + -6 = 0.3 0.5x = 0.3 Divide each side by '0.5'. x = 0.6 Simplifying x = 0.6
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