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Simplifying 3x + 96 = 4(5x + 7) Reorder the terms: 96 + 3x = 4(5x + 7) Reorder the terms: 96 + 3x = 4(7 + 5x) 96 + 3x = (7 * 4 + 5x * 4) 96 + 3x = (28 + 20x) Solving 96 + 3x = 28 + 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. 96 + 3x + -20x = 28 + 20x + -20x Combine like terms: 3x + -20x = -17x 96 + -17x = 28 + 20x + -20x Combine like terms: 20x + -20x = 0 96 + -17x = 28 + 0 96 + -17x = 28 Add '-96' to each side of the equation. 96 + -96 + -17x = 28 + -96 Combine like terms: 96 + -96 = 0 0 + -17x = 28 + -96 -17x = 28 + -96 Combine like terms: 28 + -96 = -68 -17x = -68 Divide each side by '-17'. x = 4 Simplifying x = 4
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