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Simplifying 0.5x + 5 = 2.5x + -1 Reorder the terms: 5 + 0.5x = 2.5x + -1 Reorder the terms: 5 + 0.5x = -1 + 2.5x Solving 5 + 0.5x = -1 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. 5 + 0.5x + -2.5x = -1 + 2.5x + -2.5x Combine like terms: 0.5x + -2.5x = -2x 5 + -2x = -1 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 5 + -2x = -1 + 0.0 5 + -2x = -1 Add '-5' to each side of the equation. 5 + -5 + -2x = -1 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = -1 + -5 -2x = -1 + -5 Combine like terms: -1 + -5 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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