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Simplifying 0.30x(80) + 0.60x = 0.40(80 + x) Reorder the terms for easier multiplication: 0.30 * 80x + 0.60x = 0.40(80 + x) Multiply 0.30 * 80 24x + 0.60x = 0.40(80 + x) Combine like terms: 24x + 0.60x = 24.6x 24.6x = 0.40(80 + x) 24.6x = (80 * 0.40 + x * 0.40) 24.6x = (32 + 0.40x) Solving 24.6x = 32 + 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. 24.6x + -0.40x = 32 + 0.40x + -0.40x Combine like terms: 24.6x + -0.40x = 24.2x 24.2x = 32 + 0.40x + -0.40x Combine like terms: 0.40x + -0.40x = 0.00 24.2x = 32 + 0.00 24.2x = 32 Divide each side by '24.2'. x = 1.32231405 Simplifying x = 1.32231405
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