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Simplifying 0.05x + 15 * 0.10 = 0.06(15 + x) Multiply 15 * 0.10 0.05x + 1.5 = 0.06(15 + x) Reorder the terms: 1.5 + 0.05x = 0.06(15 + x) 1.5 + 0.05x = (15 * 0.06 + x * 0.06) 1.5 + 0.05x = (0.9 + 0.06x) Solving 1.5 + 0.05x = 0.9 + 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. 1.5 + 0.05x + -0.06x = 0.9 + 0.06x + -0.06x Combine like terms: 0.05x + -0.06x = -0.01x 1.5 + -0.01x = 0.9 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 1.5 + -0.01x = 0.9 + 0.00 1.5 + -0.01x = 0.9 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -0.01x = 0.9 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -0.01x = 0.9 + -1.5 -0.01x = 0.9 + -1.5 Combine like terms: 0.9 + -1.5 = -0.6 -0.01x = -0.6 Divide each side by '-0.01'. x = 60 Simplifying x = 60
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