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Simplifying 0.08x + 0.05(60) = 0.06(x + 60) Multiply 0.05 * 60 0.08x + 3 = 0.06(x + 60) Reorder the terms: 3 + 0.08x = 0.06(x + 60) Reorder the terms: 3 + 0.08x = 0.06(60 + x) 3 + 0.08x = (60 * 0.06 + x * 0.06) 3 + 0.08x = (3.6 + 0.06x) Solving 3 + 0.08x = 3.6 + 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. 3 + 0.08x + -0.06x = 3.6 + 0.06x + -0.06x Combine like terms: 0.08x + -0.06x = 0.02x 3 + 0.02x = 3.6 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 3 + 0.02x = 3.6 + 0.00 3 + 0.02x = 3.6 Add '-3' to each side of the equation. 3 + -3 + 0.02x = 3.6 + -3 Combine like terms: 3 + -3 = 0 0 + 0.02x = 3.6 + -3 0.02x = 3.6 + -3 Combine like terms: 3.6 + -3 = 0.6 0.02x = 0.6 Divide each side by '0.02'. x = 30 Simplifying x = 30
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