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Simplifying 0.03x + 0.08(100) = 0.06(100 + x) Multiply 0.08 * 100 0.03x + 8 = 0.06(100 + x) Reorder the terms: 8 + 0.03x = 0.06(100 + x) 8 + 0.03x = (100 * 0.06 + x * 0.06) 8 + 0.03x = (6 + 0.06x) Solving 8 + 0.03x = 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. 8 + 0.03x + -0.06x = 6 + 0.06x + -0.06x Combine like terms: 0.03x + -0.06x = -0.03x 8 + -0.03x = 6 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 8 + -0.03x = 6 + 0.00 8 + -0.03x = 6 Add '-8' to each side of the equation. 8 + -8 + -0.03x = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -0.03x = 6 + -8 -0.03x = 6 + -8 Combine like terms: 6 + -8 = -2 -0.03x = -2 Divide each side by '-0.03'. x = 66.66666667 Simplifying x = 66.66666667
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