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Simplifying 0.03(50) + 0.12x = 0.06(x + 50) Multiply 0.03 * 50 1.5 + 0.12x = 0.06(x + 50) Reorder the terms: 1.5 + 0.12x = 0.06(50 + x) 1.5 + 0.12x = (50 * 0.06 + x * 0.06) 1.5 + 0.12x = (3 + 0.06x) Solving 1.5 + 0.12x = 3 + 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 + 0.12x + -0.06x = 3 + 0.06x + -0.06x Combine like terms: 0.12x + -0.06x = 0.06x 1.5 + 0.06x = 3 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 1.5 + 0.06x = 3 + 0.00 1.5 + 0.06x = 3 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 0.06x = 3 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.06x = 3 + -1.5 0.06x = 3 + -1.5 Combine like terms: 3 + -1.5 = 1.5 0.06x = 1.5 Divide each side by '0.06'. x = 25 Simplifying x = 25
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