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Simplifying 4(2x + -1) = 5(4x + 4) Reorder the terms: 4(-1 + 2x) = 5(4x + 4) (-1 * 4 + 2x * 4) = 5(4x + 4) (-4 + 8x) = 5(4x + 4) Reorder the terms: -4 + 8x = 5(4 + 4x) -4 + 8x = (4 * 5 + 4x * 5) -4 + 8x = (20 + 20x) Solving -4 + 8x = 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 + 8x + -20x = 20 + 20x + -20x Combine like terms: 8x + -20x = -12x -4 + -12x = 20 + 20x + -20x Combine like terms: 20x + -20x = 0 -4 + -12x = 20 + 0 -4 + -12x = 20 Add '4' to each side of the equation. -4 + 4 + -12x = 20 + 4 Combine like terms: -4 + 4 = 0 0 + -12x = 20 + 4 -12x = 20 + 4 Combine like terms: 20 + 4 = 24 -12x = 24 Divide each side by '-12'. x = -2 Simplifying x = -2
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