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Simplifying 0.90x + 0.05(18 + -1x) = 0.10(-93) 0.90x + (18 * 0.05 + -1x * 0.05) = 0.10(-93) 0.90x + (0.9 + -0.05x) = 0.10(-93) Reorder the terms: 0.9 + 0.90x + -0.05x = 0.10(-93) Combine like terms: 0.90x + -0.05x = 0.85x 0.9 + 0.85x = 0.10(-93) Multiply 0.10 * -93 0.9 + 0.85x = -9.3 Solving 0.9 + 0.85x = -9.3 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 + 0.85x = -9.3 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 0.85x = -9.3 + -0.9 0.85x = -9.3 + -0.9 Combine like terms: -9.3 + -0.9 = -10.2 0.85x = -10.2 Divide each side by '0.85'. x = -12 Simplifying x = -12
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