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Simplifying 0.90x + 0.5(18 + -1x) = 0.10(-8) 0.90x + (18 * 0.5 + -1x * 0.5) = 0.10(-8) 0.90x + (9 + -0.5x) = 0.10(-8) Reorder the terms: 9 + 0.90x + -0.5x = 0.10(-8) Combine like terms: 0.90x + -0.5x = 0.4x 9 + 0.4x = 0.10(-8) Multiply 0.10 * -8 9 + 0.4x = -0.8 Solving 9 + 0.4x = -0.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 0.4x = -0.8 + -9 Combine like terms: 9 + -9 = 0 0 + 0.4x = -0.8 + -9 0.4x = -0.8 + -9 Combine like terms: -0.8 + -9 = -9.8 0.4x = -9.8 Divide each side by '0.4'. x = -24.5 Simplifying x = -24.5
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