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Simplifying 0.10 + 0.05(12 + -1x) = 0.10(9) 0.10 + (12 * 0.05 + -1x * 0.05) = 0.10(9) 0.10 + (0.6 + -0.05x) = 0.10(9) Combine like terms: 0.10 + 0.6 = 0.7 0.7 + -0.05x = 0.10(9) Multiply 0.10 * 9 0.7 + -0.05x = 0.9 Solving 0.7 + -0.05x = 0.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7' to each side of the equation. 0.7 + -0.7 + -0.05x = 0.9 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + -0.05x = 0.9 + -0.7 -0.05x = 0.9 + -0.7 Combine like terms: 0.9 + -0.7 = 0.2 -0.05x = 0.2 Divide each side by '-0.05'. x = -4 Simplifying x = -4
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