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Simplifying 0.5x + -3 + 2.5x = x + 1 Reorder the terms: -3 + 0.5x + 2.5x = x + 1 Combine like terms: 0.5x + 2.5x = 3x -3 + 3x = x + 1 Reorder the terms: -3 + 3x = 1 + x Solving -3 + 3x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -3 + 3x + -1x = 1 + x + -1x Combine like terms: 3x + -1x = 2x -3 + 2x = 1 + x + -1x Combine like terms: x + -1x = 0 -3 + 2x = 1 + 0 -3 + 2x = 1 Add '3' to each side of the equation. -3 + 3 + 2x = 1 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 1 + 3 2x = 1 + 3 Combine like terms: 1 + 3 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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