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Simplifying (0.05)(60) + (0.10)(x) = 0.08(60 + x) Multiply 0.05 * 60 3 + (0.10)(x) = 0.08(60 + x) 3 + 0.10x = (60 * 0.08 + x * 0.08) 3 + 0.10x = (4.8 + 0.08x) Solving 3 + 0.10x = 4.8 + 0.08x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.08x' to each side of the equation. 3 + 0.10x + -0.08x = 4.8 + 0.08x + -0.08x Combine like terms: 0.10x + -0.08x = 0.02x 3 + 0.02x = 4.8 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 3 + 0.02x = 4.8 + 0.00 3 + 0.02x = 4.8 Add '-3' to each side of the equation. 3 + -3 + 0.02x = 4.8 + -3 Combine like terms: 3 + -3 = 0 0 + 0.02x = 4.8 + -3 0.02x = 4.8 + -3 Combine like terms: 4.8 + -3 = 1.8 0.02x = 1.8 Divide each side by '0.02'. x = 90 Simplifying x = 90
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