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Simplifying 0.5x + 4 = 3x + -2x Reorder the terms: 4 + 0.5x = 3x + -2x Combine like terms: 3x + -2x = 1x 4 + 0.5x = 1x Solving 4 + 0.5x = 1x 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. 4 + 0.5x + -1x = 1x + -1x Combine like terms: 0.5x + -1x = -0.5x 4 + -0.5x = 1x + -1x Combine like terms: 1x + -1x = 0 4 + -0.5x = 0 Add '-4' to each side of the equation. 4 + -4 + -0.5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -0.5x = 0 + -4 -0.5x = 0 + -4 Combine like terms: 0 + -4 = -4 -0.5x = -4 Divide each side by '-0.5'. x = 8 Simplifying x = 8
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