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Simplifying 3(7x + -5) = 4(5x + 2) Reorder the terms: 3(-5 + 7x) = 4(5x + 2) (-5 * 3 + 7x * 3) = 4(5x + 2) (-15 + 21x) = 4(5x + 2) Reorder the terms: -15 + 21x = 4(2 + 5x) -15 + 21x = (2 * 4 + 5x * 4) -15 + 21x = (8 + 20x) Solving -15 + 21x = 8 + 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. -15 + 21x + -20x = 8 + 20x + -20x Combine like terms: 21x + -20x = 1x -15 + 1x = 8 + 20x + -20x Combine like terms: 20x + -20x = 0 -15 + 1x = 8 + 0 -15 + 1x = 8 Add '15' to each side of the equation. -15 + 15 + 1x = 8 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = 8 + 15 1x = 8 + 15 Combine like terms: 8 + 15 = 23 1x = 23 Divide each side by '1'. x = 23 Simplifying x = 23
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