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Simplifying 2.5 + -0.5x = 2(2.5x + 4) Reorder the terms: 2.5 + -0.5x = 2(4 + 2.5x) 2.5 + -0.5x = (4 * 2 + 2.5x * 2) 2.5 + -0.5x = (8 + 5x) Solving 2.5 + -0.5x = 8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2.5 + -0.5x + -5x = 8 + 5x + -5x Combine like terms: -0.5x + -5x = -5.5x 2.5 + -5.5x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 2.5 + -5.5x = 8 + 0 2.5 + -5.5x = 8 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -5.5x = 8 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -5.5x = 8 + -2.5 -5.5x = 8 + -2.5 Combine like terms: 8 + -2.5 = 5.5 -5.5x = 5.5 Divide each side by '-5.5'. x = -1 Simplifying x = -1
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