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Simplifying 5(7x + -4) = -5(-4x + -5) Reorder the terms: 5(-4 + 7x) = -5(-4x + -5) (-4 * 5 + 7x * 5) = -5(-4x + -5) (-20 + 35x) = -5(-4x + -5) Reorder the terms: -20 + 35x = -5(-5 + -4x) -20 + 35x = (-5 * -5 + -4x * -5) -20 + 35x = (25 + 20x) Solving -20 + 35x = 25 + 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. -20 + 35x + -20x = 25 + 20x + -20x Combine like terms: 35x + -20x = 15x -20 + 15x = 25 + 20x + -20x Combine like terms: 20x + -20x = 0 -20 + 15x = 25 + 0 -20 + 15x = 25 Add '20' to each side of the equation. -20 + 20 + 15x = 25 + 20 Combine like terms: -20 + 20 = 0 0 + 15x = 25 + 20 15x = 25 + 20 Combine like terms: 25 + 20 = 45 15x = 45 Divide each side by '15'. x = 3 Simplifying x = 3
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