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Simplifying 0.05(x) + 0.10(8) = 0.06(x + 8) Multiply 0.10 * 8 0.05x + 0.8 = 0.06(x + 8) Reorder the terms: 0.8 + 0.05x = 0.06(x + 8) Reorder the terms: 0.8 + 0.05x = 0.06(8 + x) 0.8 + 0.05x = (8 * 0.06 + x * 0.06) 0.8 + 0.05x = (0.48 + 0.06x) Solving 0.8 + 0.05x = 0.48 + 0.06x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.06x' to each side of the equation. 0.8 + 0.05x + -0.06x = 0.48 + 0.06x + -0.06x Combine like terms: 0.05x + -0.06x = -0.01x 0.8 + -0.01x = 0.48 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 0.8 + -0.01x = 0.48 + 0.00 0.8 + -0.01x = 0.48 Add '-0.8' to each side of the equation. 0.8 + -0.8 + -0.01x = 0.48 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -0.01x = 0.48 + -0.8 -0.01x = 0.48 + -0.8 Combine like terms: 0.48 + -0.8 = -0.32 -0.01x = -0.32 Divide each side by '-0.01'. x = 32 Simplifying x = 32
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