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Simplifying 0.5x + 4 = 1.5x Reorder the terms: 4 + 0.5x = 1.5x Solving 4 + 0.5x = 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. 4 + 0.5x + -1.5x = 1.5x + -1.5x Combine like terms: 0.5x + -1.5x = -1x 4 + -1x = 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 4 + -1x = 0.0 Add '-4' to each side of the equation. 4 + -4 + -1x = 0.0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0.0 + -4 -1x = 0.0 + -4 Combine like terms: 0.0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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