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Simplifying 0.75x + 0.05(18 + -1x) = 0.10(-117) 0.75x + (18 * 0.05 + -1x * 0.05) = 0.10(-117) 0.75x + (0.9 + -0.05x) = 0.10(-117) Reorder the terms: 0.9 + 0.75x + -0.05x = 0.10(-117) Combine like terms: 0.75x + -0.05x = 0.7x 0.9 + 0.7x = 0.10(-117) Multiply 0.10 * -117 0.9 + 0.7x = -11.7 Solving 0.9 + 0.7x = -11.7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9' to each side of the equation. 0.9 + -0.9 + 0.7x = -11.7 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 0.7x = -11.7 + -0.9 0.7x = -11.7 + -0.9 Combine like terms: -11.7 + -0.9 = -12.6 0.7x = -12.6 Divide each side by '0.7'. x = -18 Simplifying x = -18
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