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Simplifying 2(2.5x + 4) = 2x + -2(x + -5) Reorder the terms: 2(4 + 2.5x) = 2x + -2(x + -5) (4 * 2 + 2.5x * 2) = 2x + -2(x + -5) (8 + 5x) = 2x + -2(x + -5) Reorder the terms: 8 + 5x = 2x + -2(-5 + x) 8 + 5x = 2x + (-5 * -2 + x * -2) 8 + 5x = 2x + (10 + -2x) Reorder the terms: 8 + 5x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 5x = 10 + 0 8 + 5x = 10 Solving 8 + 5x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 10 + -8 5x = 10 + -8 Combine like terms: 10 + -8 = 2 5x = 2 Divide each side by '5'. x = 0.4 Simplifying x = 0.4
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