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Simplifying 0.90x + 0.05(4 + -1x) = 0.10(-117) 0.90x + (4 * 0.05 + -1x * 0.05) = 0.10(-117) 0.90x + (0.2 + -0.05x) = 0.10(-117) Reorder the terms: 0.2 + 0.90x + -0.05x = 0.10(-117) Combine like terms: 0.90x + -0.05x = 0.85x 0.2 + 0.85x = 0.10(-117) Multiply 0.10 * -117 0.2 + 0.85x = -11.7 Solving 0.2 + 0.85x = -11.7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + 0.85x = -11.7 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.85x = -11.7 + -0.2 0.85x = -11.7 + -0.2 Combine like terms: -11.7 + -0.2 = -11.9 0.85x = -11.9 Divide each side by '0.85'. x = -14 Simplifying x = -14
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