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Simplifying 4(3x + 5) = 7(5x + 3) + 9 Reorder the terms: 4(5 + 3x) = 7(5x + 3) + 9 (5 * 4 + 3x * 4) = 7(5x + 3) + 9 (20 + 12x) = 7(5x + 3) + 9 Reorder the terms: 20 + 12x = 7(3 + 5x) + 9 20 + 12x = (3 * 7 + 5x * 7) + 9 20 + 12x = (21 + 35x) + 9 Reorder the terms: 20 + 12x = 21 + 9 + 35x Combine like terms: 21 + 9 = 30 20 + 12x = 30 + 35x Solving 20 + 12x = 30 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 20 + 12x + -35x = 30 + 35x + -35x Combine like terms: 12x + -35x = -23x 20 + -23x = 30 + 35x + -35x Combine like terms: 35x + -35x = 0 20 + -23x = 30 + 0 20 + -23x = 30 Add '-20' to each side of the equation. 20 + -20 + -23x = 30 + -20 Combine like terms: 20 + -20 = 0 0 + -23x = 30 + -20 -23x = 30 + -20 Combine like terms: 30 + -20 = 10 -23x = 10 Divide each side by '-23'. x = -0.4347826087 Simplifying x = -0.4347826087
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