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Simplifying 0.05x + 0.02(8) = 0.10(x + 8) Multiply 0.02 * 8 0.05x + 0.16 = 0.10(x + 8) Reorder the terms: 0.16 + 0.05x = 0.10(x + 8) Reorder the terms: 0.16 + 0.05x = 0.10(8 + x) 0.16 + 0.05x = (8 * 0.10 + x * 0.10) 0.16 + 0.05x = (0.8 + 0.10x) Solving 0.16 + 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. 0.16 + 0.05x + -0.10x = 0.8 + 0.10x + -0.10x Combine like terms: 0.05x + -0.10x = -0.05x 0.16 + -0.05x = 0.8 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 0.16 + -0.05x = 0.8 + 0.00 0.16 + -0.05x = 0.8 Add '-0.16' to each side of the equation. 0.16 + -0.16 + -0.05x = 0.8 + -0.16 Combine like terms: 0.16 + -0.16 = 0.00 0.00 + -0.05x = 0.8 + -0.16 -0.05x = 0.8 + -0.16 Combine like terms: 0.8 + -0.16 = 0.64 -0.05x = 0.64 Divide each side by '-0.05'. x = -12.8 Simplifying x = -12.8
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