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Simplifying -0.5x + 5 = 1.5x + 9 Reorder the terms: 5 + -0.5x = 1.5x + 9 Reorder the terms: 5 + -0.5x = 9 + 1.5x Solving 5 + -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. 5 + -0.5x + -1.5x = 9 + 1.5x + -1.5x Combine like terms: -0.5x + -1.5x = -2x 5 + -2x = 9 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 5 + -2x = 9 + 0.0 5 + -2x = 9 Add '-5' to each side of the equation. 5 + -5 + -2x = 9 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 9 + -5 -2x = 9 + -5 Combine like terms: 9 + -5 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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