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Simplifying 0.90x + 0.05(18 + -1x) = 0.10(-76) 0.90x + (18 * 0.05 + -1x * 0.05) = 0.10(-76) 0.90x + (0.9 + -0.05x) = 0.10(-76) Reorder the terms: 0.9 + 0.90x + -0.05x = 0.10(-76) Combine like terms: 0.90x + -0.05x = 0.85x 0.9 + 0.85x = 0.10(-76) Multiply 0.10 * -76 0.9 + 0.85x = -7.6 Solving 0.9 + 0.85x = -7.6 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 = -7.6 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 0.85x = -7.6 + -0.9 0.85x = -7.6 + -0.9 Combine like terms: -7.6 + -0.9 = -8.5 0.85x = -8.5 Divide each side by '0.85'. x = -10 Simplifying x = -10
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