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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 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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