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Simplifying 0.10x + 0.5(20 + -1x) = 0.10(9) 0.10x + (20 * 0.5 + -1x * 0.5) = 0.10(9) 0.10x + (10 + -0.5x) = 0.10(9) Reorder the terms: 10 + 0.10x + -0.5x = 0.10(9) Combine like terms: 0.10x + -0.5x = -0.4x 10 + -0.4x = 0.10(9) Multiply 0.10 * 9 10 + -0.4x = 0.9 Solving 10 + -0.4x = 0.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -0.4x = 0.9 + -10 Combine like terms: 10 + -10 = 0 0 + -0.4x = 0.9 + -10 -0.4x = 0.9 + -10 Combine like terms: 0.9 + -10 = -9.1 -0.4x = -9.1 Divide each side by '-0.4'. x = 22.75 Simplifying x = 22.75
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