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Simplifying 0.5x + 3 = 1.5x + -5 Reorder the terms: 3 + 0.5x = 1.5x + -5 Reorder the terms: 3 + 0.5x = -5 + 1.5x Solving 3 + 0.5x = -5 + 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. 3 + 0.5x + -1.5x = -5 + 1.5x + -1.5x Combine like terms: 0.5x + -1.5x = -1x 3 + -1x = -5 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 3 + -1x = -5 + 0.0 3 + -1x = -5 Add '-3' to each side of the equation. 3 + -3 + -1x = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = -5 + -3 -1x = -5 + -3 Combine like terms: -5 + -3 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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