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Simplifying -0.5x + 4 = -1.5x + 9 Reorder the terms: 4 + -0.5x = -1.5x + 9 Reorder the terms: 4 + -0.5x = 9 + -1.5x Solving 4 + -0.5x = 9 + -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 = 9 + -1.5x + 1.5x Combine like terms: -0.5x + 1.5x = 1x 4 + 1x = 9 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 4 + 1x = 9 + 0.0 4 + 1x = 9 Add '-4' to each side of the equation. 4 + -4 + 1x = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 9 + -4 1x = 9 + -4 Combine like terms: 9 + -4 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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