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Simplifying 4(5x + -1) = 4(4x + 5) Reorder the terms: 4(-1 + 5x) = 4(4x + 5) (-1 * 4 + 5x * 4) = 4(4x + 5) (-4 + 20x) = 4(4x + 5) Reorder the terms: -4 + 20x = 4(5 + 4x) -4 + 20x = (5 * 4 + 4x * 4) -4 + 20x = (20 + 16x) Solving -4 + 20x = 20 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -4 + 20x + -16x = 20 + 16x + -16x Combine like terms: 20x + -16x = 4x -4 + 4x = 20 + 16x + -16x Combine like terms: 16x + -16x = 0 -4 + 4x = 20 + 0 -4 + 4x = 20 Add '4' to each side of the equation. -4 + 4 + 4x = 20 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = 20 + 4 4x = 20 + 4 Combine like terms: 20 + 4 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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