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Simplifying 5(7x + 4) = -9(5x + -12) Reorder the terms: 5(4 + 7x) = -9(5x + -12) (4 * 5 + 7x * 5) = -9(5x + -12) (20 + 35x) = -9(5x + -12) Reorder the terms: 20 + 35x = -9(-12 + 5x) 20 + 35x = (-12 * -9 + 5x * -9) 20 + 35x = (108 + -45x) Solving 20 + 35x = 108 + -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. 20 + 35x + 45x = 108 + -45x + 45x Combine like terms: 35x + 45x = 80x 20 + 80x = 108 + -45x + 45x Combine like terms: -45x + 45x = 0 20 + 80x = 108 + 0 20 + 80x = 108 Add '-20' to each side of the equation. 20 + -20 + 80x = 108 + -20 Combine like terms: 20 + -20 = 0 0 + 80x = 108 + -20 80x = 108 + -20 Combine like terms: 108 + -20 = 88 80x = 88 Divide each side by '80'. x = 1.1 Simplifying x = 1.1
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