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Simplifying 0.05 * 100 + 0.08x = 0.06(100 + x) Multiply 0.05 * 100 5 + 0.08x = 0.06(100 + x) 5 + 0.08x = (100 * 0.06 + x * 0.06) 5 + 0.08x = (6 + 0.06x) Solving 5 + 0.08x = 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. 5 + 0.08x + -0.06x = 6 + 0.06x + -0.06x Combine like terms: 0.08x + -0.06x = 0.02x 5 + 0.02x = 6 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 5 + 0.02x = 6 + 0.00 5 + 0.02x = 6 Add '-5' to each side of the equation. 5 + -5 + 0.02x = 6 + -5 Combine like terms: 5 + -5 = 0 0 + 0.02x = 6 + -5 0.02x = 6 + -5 Combine like terms: 6 + -5 = 1 0.02x = 1 Divide each side by '0.02'. x = 50 Simplifying x = 50
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