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Simplifying 0.15x + 0.05(8 + -1x) = 0.10(8) 0.15x + (8 * 0.05 + -1x * 0.05) = 0.10(8) 0.15x + (0.4 + -0.05x) = 0.10(8) Reorder the terms: 0.4 + 0.15x + -0.05x = 0.10(8) Combine like terms: 0.15x + -0.05x = 0.1x 0.4 + 0.1x = 0.10(8) Multiply 0.10 * 8 0.4 + 0.1x = 0.8 Solving 0.4 + 0.1x = 0.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4' to each side of the equation. 0.4 + -0.4 + 0.1x = 0.8 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.1x = 0.8 + -0.4 0.1x = 0.8 + -0.4 Combine like terms: 0.8 + -0.4 = 0.4 0.1x = 0.4 Divide each side by '0.1'. x = 4 Simplifying x = 4
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