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Simplifying 5(4x + -4) = 5(3x + 3) Reorder the terms: 5(-4 + 4x) = 5(3x + 3) (-4 * 5 + 4x * 5) = 5(3x + 3) (-20 + 20x) = 5(3x + 3) Reorder the terms: -20 + 20x = 5(3 + 3x) -20 + 20x = (3 * 5 + 3x * 5) -20 + 20x = (15 + 15x) Solving -20 + 20x = 15 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -20 + 20x + -15x = 15 + 15x + -15x Combine like terms: 20x + -15x = 5x -20 + 5x = 15 + 15x + -15x Combine like terms: 15x + -15x = 0 -20 + 5x = 15 + 0 -20 + 5x = 15 Add '20' to each side of the equation. -20 + 20 + 5x = 15 + 20 Combine like terms: -20 + 20 = 0 0 + 5x = 15 + 20 5x = 15 + 20 Combine like terms: 15 + 20 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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