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Simplifying 0.85 + 0.05(12 + -1x) = 0.10(102) 0.85 + (12 * 0.05 + -1x * 0.05) = 0.10(102) 0.85 + (0.6 + -0.05x) = 0.10(102) Combine like terms: 0.85 + 0.6 = 1.45 1.45 + -0.05x = 0.10(102) Multiply 0.10 * 102 1.45 + -0.05x = 10.2 Solving 1.45 + -0.05x = 10.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.45' to each side of the equation. 1.45 + -1.45 + -0.05x = 10.2 + -1.45 Combine like terms: 1.45 + -1.45 = 0.00 0.00 + -0.05x = 10.2 + -1.45 -0.05x = 10.2 + -1.45 Combine like terms: 10.2 + -1.45 = 8.75 -0.05x = 8.75 Divide each side by '-0.05'. x = -175 Simplifying x = -175
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