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Simplifying 0.5x + 4 = -2x + 9 Reorder the terms: 4 + 0.5x = -2x + 9 Reorder the terms: 4 + 0.5x = 9 + -2x Solving 4 + 0.5x = 9 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 4 + 0.5x + 2x = 9 + -2x + 2x Combine like terms: 0.5x + 2x = 2.5x 4 + 2.5x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 2.5x = 9 + 0 4 + 2.5x = 9 Add '-4' to each side of the equation. 4 + -4 + 2.5x = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 2.5x = 9 + -4 2.5x = 9 + -4 Combine like terms: 9 + -4 = 5 2.5x = 5 Divide each side by '2.5'. x = 2 Simplifying x = 2
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