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Simplifying 0.45 + 0.05(12 + -1x) = 0.10(54) 0.45 + (12 * 0.05 + -1x * 0.05) = 0.10(54) 0.45 + (0.6 + -0.05x) = 0.10(54) Combine like terms: 0.45 + 0.6 = 1.05 1.05 + -0.05x = 0.10(54) Multiply 0.10 * 54 1.05 + -0.05x = 5.4 Solving 1.05 + -0.05x = 5.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.05' to each side of the equation. 1.05 + -1.05 + -0.05x = 5.4 + -1.05 Combine like terms: 1.05 + -1.05 = 0.00 0.00 + -0.05x = 5.4 + -1.05 -0.05x = 5.4 + -1.05 Combine like terms: 5.4 + -1.05 = 4.35 -0.05x = 4.35 Divide each side by '-0.05'. x = -87 Simplifying x = -87
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