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Simplifying 5(x + -1) = 2(2x + 10) Reorder the terms: 5(-1 + x) = 2(2x + 10) (-1 * 5 + x * 5) = 2(2x + 10) (-5 + 5x) = 2(2x + 10) Reorder the terms: -5 + 5x = 2(10 + 2x) -5 + 5x = (10 * 2 + 2x * 2) -5 + 5x = (20 + 4x) Solving -5 + 5x = 20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5 + 5x + -4x = 20 + 4x + -4x Combine like terms: 5x + -4x = 1x -5 + 1x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + 1x = 20 + 0 -5 + 1x = 20 Add '5' to each side of the equation. -5 + 5 + 1x = 20 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = 20 + 5 1x = 20 + 5 Combine like terms: 20 + 5 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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