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Simplifying 0.05(80) + 0.80x = 0.30(80 + x) Multiply 0.05 * 80 4 + 0.80x = 0.30(80 + x) 4 + 0.80x = (80 * 0.30 + x * 0.30) 4 + 0.80x = (24 + 0.30x) Solving 4 + 0.80x = 24 + 0.30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.30x' to each side of the equation. 4 + 0.80x + -0.30x = 24 + 0.30x + -0.30x Combine like terms: 0.80x + -0.30x = 0.5x 4 + 0.5x = 24 + 0.30x + -0.30x Combine like terms: 0.30x + -0.30x = 0.00 4 + 0.5x = 24 + 0.00 4 + 0.5x = 24 Add '-4' to each side of the equation. 4 + -4 + 0.5x = 24 + -4 Combine like terms: 4 + -4 = 0 0 + 0.5x = 24 + -4 0.5x = 24 + -4 Combine like terms: 24 + -4 = 20 0.5x = 20 Divide each side by '0.5'. x = 40 Simplifying x = 40
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