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Simplifying 9(7x + 5) = 12(5x + 4) Reorder the terms: 9(5 + 7x) = 12(5x + 4) (5 * 9 + 7x * 9) = 12(5x + 4) (45 + 63x) = 12(5x + 4) Reorder the terms: 45 + 63x = 12(4 + 5x) 45 + 63x = (4 * 12 + 5x * 12) 45 + 63x = (48 + 60x) Solving 45 + 63x = 48 + 60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. 45 + 63x + -60x = 48 + 60x + -60x Combine like terms: 63x + -60x = 3x 45 + 3x = 48 + 60x + -60x Combine like terms: 60x + -60x = 0 45 + 3x = 48 + 0 45 + 3x = 48 Add '-45' to each side of the equation. 45 + -45 + 3x = 48 + -45 Combine like terms: 45 + -45 = 0 0 + 3x = 48 + -45 3x = 48 + -45 Combine like terms: 48 + -45 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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