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Simplifying 0.05x + 0.20(8) = 0.10(x + 8) Multiply 0.20 * 8 0.05x + 1.6 = 0.10(x + 8) Reorder the terms: 1.6 + 0.05x = 0.10(x + 8) Reorder the terms: 1.6 + 0.05x = 0.10(8 + x) 1.6 + 0.05x = (8 * 0.10 + x * 0.10) 1.6 + 0.05x = (0.8 + 0.10x) Solving 1.6 + 0.05x = 0.8 + 0.10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.10x' to each side of the equation. 1.6 + 0.05x + -0.10x = 0.8 + 0.10x + -0.10x Combine like terms: 0.05x + -0.10x = -0.05x 1.6 + -0.05x = 0.8 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 1.6 + -0.05x = 0.8 + 0.00 1.6 + -0.05x = 0.8 Add '-1.6' to each side of the equation. 1.6 + -1.6 + -0.05x = 0.8 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + -0.05x = 0.8 + -1.6 -0.05x = 0.8 + -1.6 Combine like terms: 0.8 + -1.6 = -0.8 -0.05x = -0.8 Divide each side by '-0.05'. x = 16 Simplifying x = 16
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