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Simplifying 0.75 + 0.05(18 + -1x) = 0.10(-117) 0.75 + (18 * 0.05 + -1x * 0.05) = 0.10(-117) 0.75 + (0.9 + -0.05x) = 0.10(-117) Combine like terms: 0.75 + 0.9 = 1.65 1.65 + -0.05x = 0.10(-117) Multiply 0.10 * -117 1.65 + -0.05x = -11.7 Solving 1.65 + -0.05x = -11.7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.65' to each side of the equation. 1.65 + -1.65 + -0.05x = -11.7 + -1.65 Combine like terms: 1.65 + -1.65 = 0.00 0.00 + -0.05x = -11.7 + -1.65 -0.05x = -11.7 + -1.65 Combine like terms: -11.7 + -1.65 = -13.35 -0.05x = -13.35 Divide each side by '-0.05'. x = 267 Simplifying x = 267
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