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Simplifying 0.30(50) + 0.80x = 0.40(x + 50) Multiply 0.30 * 50 15 + 0.80x = 0.40(x + 50) Reorder the terms: 15 + 0.80x = 0.40(50 + x) 15 + 0.80x = (50 * 0.40 + x * 0.40) 15 + 0.80x = (20 + 0.40x) Solving 15 + 0.80x = 20 + 0.40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.40x' to each side of the equation. 15 + 0.80x + -0.40x = 20 + 0.40x + -0.40x Combine like terms: 0.80x + -0.40x = 0.4x 15 + 0.4x = 20 + 0.40x + -0.40x Combine like terms: 0.40x + -0.40x = 0.00 15 + 0.4x = 20 + 0.00 15 + 0.4x = 20 Add '-15' to each side of the equation. 15 + -15 + 0.4x = 20 + -15 Combine like terms: 15 + -15 = 0 0 + 0.4x = 20 + -15 0.4x = 20 + -15 Combine like terms: 20 + -15 = 5 0.4x = 5 Divide each side by '0.4'. x = 12.5 Simplifying x = 12.5
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