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Simplifying 0.5 + 2x = 3x + -0.5 Reorder the terms: 0.5 + 2x = -0.5 + 3x Solving 0.5 + 2x = -0.5 + 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. 0.5 + 2x + -3x = -0.5 + 3x + -3x Combine like terms: 2x + -3x = -1x 0.5 + -1x = -0.5 + 3x + -3x Combine like terms: 3x + -3x = 0 0.5 + -1x = -0.5 + 0 0.5 + -1x = -0.5 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -1x = -0.5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -1x = -0.5 + -0.5 -1x = -0.5 + -0.5 Combine like terms: -0.5 + -0.5 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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