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Simplifying 4(5x + 15) = 20(4x + -36) Reorder the terms: 4(15 + 5x) = 20(4x + -36) (15 * 4 + 5x * 4) = 20(4x + -36) (60 + 20x) = 20(4x + -36) Reorder the terms: 60 + 20x = 20(-36 + 4x) 60 + 20x = (-36 * 20 + 4x * 20) 60 + 20x = (-720 + 80x) Solving 60 + 20x = -720 + 80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80x' to each side of the equation. 60 + 20x + -80x = -720 + 80x + -80x Combine like terms: 20x + -80x = -60x 60 + -60x = -720 + 80x + -80x Combine like terms: 80x + -80x = 0 60 + -60x = -720 + 0 60 + -60x = -720 Add '-60' to each side of the equation. 60 + -60 + -60x = -720 + -60 Combine like terms: 60 + -60 = 0 0 + -60x = -720 + -60 -60x = -720 + -60 Combine like terms: -720 + -60 = -780 -60x = -780 Divide each side by '-60'. x = 13 Simplifying x = 13
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