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Simplifying 0.10x + 0.5(10 + -1x) = 0.10(8) 0.10x + (10 * 0.5 + -1x * 0.5) = 0.10(8) 0.10x + (5 + -0.5x) = 0.10(8) Reorder the terms: 5 + 0.10x + -0.5x = 0.10(8) Combine like terms: 0.10x + -0.5x = -0.4x 5 + -0.4x = 0.10(8) Multiply 0.10 * 8 5 + -0.4x = 0.8 Solving 5 + -0.4x = 0.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -0.4x = 0.8 + -5 Combine like terms: 5 + -5 = 0 0 + -0.4x = 0.8 + -5 -0.4x = 0.8 + -5 Combine like terms: 0.8 + -5 = -4.2 -0.4x = -4.2 Divide each side by '-0.4'. x = 10.5 Simplifying x = 10.5
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