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Simplifying -0.08(50) + 0.80x = 0.40(50 + x) Multiply -0.08 * 50 -4 + 0.80x = 0.40(50 + x) -4 + 0.80x = (50 * 0.40 + x * 0.40) -4 + 0.80x = (20 + 0.40x) Solving -4 + 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. -4 + 0.80x + -0.40x = 20 + 0.40x + -0.40x Combine like terms: 0.80x + -0.40x = 0.4x -4 + 0.4x = 20 + 0.40x + -0.40x Combine like terms: 0.40x + -0.40x = 0.00 -4 + 0.4x = 20 + 0.00 -4 + 0.4x = 20 Add '4' to each side of the equation. -4 + 4 + 0.4x = 20 + 4 Combine like terms: -4 + 4 = 0 0 + 0.4x = 20 + 4 0.4x = 20 + 4 Combine like terms: 20 + 4 = 24 0.4x = 24 Divide each side by '0.4'. x = 60 Simplifying x = 60
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