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Simplifying -0.95(20) + 0.80x = 0.30(20 + x) Multiply -0.95 * 20 -19 + 0.80x = 0.30(20 + x) -19 + 0.80x = (20 * 0.30 + x * 0.30) -19 + 0.80x = (6 + 0.30x) Solving -19 + 0.80x = 6 + 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. -19 + 0.80x + -0.30x = 6 + 0.30x + -0.30x Combine like terms: 0.80x + -0.30x = 0.5x -19 + 0.5x = 6 + 0.30x + -0.30x Combine like terms: 0.30x + -0.30x = 0.00 -19 + 0.5x = 6 + 0.00 -19 + 0.5x = 6 Add '19' to each side of the equation. -19 + 19 + 0.5x = 6 + 19 Combine like terms: -19 + 19 = 0 0 + 0.5x = 6 + 19 0.5x = 6 + 19 Combine like terms: 6 + 19 = 25 0.5x = 25 Divide each side by '0.5'. x = 50 Simplifying x = 50
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