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Simplifying x + 0.5 + 3x + -2 = 3x + 1.5 Reorder the terms: 0.5 + -2 + x + 3x = 3x + 1.5 Combine like terms: 0.5 + -2 = -1.5 -1.5 + x + 3x = 3x + 1.5 Combine like terms: x + 3x = 4x -1.5 + 4x = 3x + 1.5 Reorder the terms: -1.5 + 4x = 1.5 + 3x Solving -1.5 + 4x = 1.5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1.5 + 4x + -3x = 1.5 + 3x + -3x Combine like terms: 4x + -3x = 1x -1.5 + 1x = 1.5 + 3x + -3x Combine like terms: 3x + -3x = 0 -1.5 + 1x = 1.5 + 0 -1.5 + 1x = 1.5 Add '1.5' to each side of the equation. -1.5 + 1.5 + 1x = 1.5 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 1x = 1.5 + 1.5 1x = 1.5 + 1.5 Combine like terms: 1.5 + 1.5 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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