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Simplifying 0.5x + 4 = 5 + -2.5x Reorder the terms: 4 + 0.5x = 5 + -2.5x Solving 4 + 0.5x = 5 + -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. 4 + 0.5x + 2.5x = 5 + -2.5x + 2.5x Combine like terms: 0.5x + 2.5x = 3x 4 + 3x = 5 + -2.5x + 2.5x Combine like terms: -2.5x + 2.5x = 0.0 4 + 3x = 5 + 0.0 4 + 3x = 5 Add '-4' to each side of the equation. 4 + -4 + 3x = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 5 + -4 3x = 5 + -4 Combine like terms: 5 + -4 = 1 3x = 1 Divide each side by '3'. x = 0.3333333333 Simplifying x = 0.3333333333
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