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Simplifying 0.5x + 8 = 2.5x + -1 Reorder the terms: 8 + 0.5x = 2.5x + -1 Reorder the terms: 8 + 0.5x = -1 + 2.5x Solving 8 + 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. 8 + 0.5x + -2.5x = -1 + 2.5x + -2.5x Combine like terms: 0.5x + -2.5x = -2x 8 + -2x = -1 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 8 + -2x = -1 + 0.0 8 + -2x = -1 Add '-8' to each side of the equation. 8 + -8 + -2x = -1 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = -1 + -8 -2x = -1 + -8 Combine like terms: -1 + -8 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5
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