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Simplifying -2.5x + 2 = 0.5(8 + -6x) Reorder the terms: 2 + -2.5x = 0.5(8 + -6x) 2 + -2.5x = (8 * 0.5 + -6x * 0.5) 2 + -2.5x = (4 + -3x) Solving 2 + -2.5x = 4 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 2 + -2.5x + 3x = 4 + -3x + 3x Combine like terms: -2.5x + 3x = 0.5x 2 + 0.5x = 4 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + 0.5x = 4 + 0 2 + 0.5x = 4 Add '-2' to each side of the equation. 2 + -2 + 0.5x = 4 + -2 Combine like terms: 2 + -2 = 0 0 + 0.5x = 4 + -2 0.5x = 4 + -2 Combine like terms: 4 + -2 = 2 0.5x = 2 Divide each side by '0.5'. x = 4 Simplifying x = 4
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