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Simplifying 2.5(x + -2) = 1.5x + 1 Reorder the terms: 2.5(-2 + x) = 1.5x + 1 (-2 * 2.5 + x * 2.5) = 1.5x + 1 (-5 + 2.5x) = 1.5x + 1 Reorder the terms: -5 + 2.5x = 1 + 1.5x Solving -5 + 2.5x = 1 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. -5 + 2.5x + -1.5x = 1 + 1.5x + -1.5x Combine like terms: 2.5x + -1.5x = 1x -5 + 1x = 1 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -5 + 1x = 1 + 0.0 -5 + 1x = 1 Add '5' to each side of the equation. -5 + 5 + 1x = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = 1 + 5 1x = 1 + 5 Combine like terms: 1 + 5 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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