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Simplifying 4(x + -1) = 4(5 + -5x) Reorder the terms: 4(-1 + x) = 4(5 + -5x) (-1 * 4 + x * 4) = 4(5 + -5x) (-4 + 4x) = 4(5 + -5x) -4 + 4x = (5 * 4 + -5x * 4) -4 + 4x = (20 + -20x) Solving -4 + 4x = 20 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -4 + 4x + 20x = 20 + -20x + 20x Combine like terms: 4x + 20x = 24x -4 + 24x = 20 + -20x + 20x Combine like terms: -20x + 20x = 0 -4 + 24x = 20 + 0 -4 + 24x = 20 Add '4' to each side of the equation. -4 + 4 + 24x = 20 + 4 Combine like terms: -4 + 4 = 0 0 + 24x = 20 + 4 24x = 20 + 4 Combine like terms: 20 + 4 = 24 24x = 24 Divide each side by '24'. x = 1 Simplifying x = 1
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