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Simplifying 0.20x + -2.5 = 0.10x + 1 + -0.6x Reorder the terms: -2.5 + 0.20x = 0.10x + 1 + -0.6x Reorder the terms: -2.5 + 0.20x = 1 + 0.10x + -0.6x Combine like terms: 0.10x + -0.6x = -0.5x -2.5 + 0.20x = 1 + -0.5x Solving -2.5 + 0.20x = 1 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. -2.5 + 0.20x + 0.5x = 1 + -0.5x + 0.5x Combine like terms: 0.20x + 0.5x = 0.7x -2.5 + 0.7x = 1 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -2.5 + 0.7x = 1 + 0.0 -2.5 + 0.7x = 1 Add '2.5' to each side of the equation. -2.5 + 2.5 + 0.7x = 1 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + 0.7x = 1 + 2.5 0.7x = 1 + 2.5 Combine like terms: 1 + 2.5 = 3.5 0.7x = 3.5 Divide each side by '0.7'. x = 5 Simplifying x = 5
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