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Simplifying 0.80x + -1 = 0.20x + 5 Reorder the terms: -1 + 0.80x = 0.20x + 5 Reorder the terms: -1 + 0.80x = 5 + 0.20x Solving -1 + 0.80x = 5 + 0.20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.20x' to each side of the equation. -1 + 0.80x + -0.20x = 5 + 0.20x + -0.20x Combine like terms: 0.80x + -0.20x = 0.6x -1 + 0.6x = 5 + 0.20x + -0.20x Combine like terms: 0.20x + -0.20x = 0.00 -1 + 0.6x = 5 + 0.00 -1 + 0.6x = 5 Add '1' to each side of the equation. -1 + 1 + 0.6x = 5 + 1 Combine like terms: -1 + 1 = 0 0 + 0.6x = 5 + 1 0.6x = 5 + 1 Combine like terms: 5 + 1 = 6 0.6x = 6 Divide each side by '0.6'. x = 10 Simplifying x = 10
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