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Simplifying 7x + -3(4x + -3) = 7(3x + 5) Reorder the terms: 7x + -3(-3 + 4x) = 7(3x + 5) 7x + (-3 * -3 + 4x * -3) = 7(3x + 5) 7x + (9 + -12x) = 7(3x + 5) Reorder the terms: 9 + 7x + -12x = 7(3x + 5) Combine like terms: 7x + -12x = -5x 9 + -5x = 7(3x + 5) Reorder the terms: 9 + -5x = 7(5 + 3x) 9 + -5x = (5 * 7 + 3x * 7) 9 + -5x = (35 + 21x) Solving 9 + -5x = 35 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 9 + -5x + -21x = 35 + 21x + -21x Combine like terms: -5x + -21x = -26x 9 + -26x = 35 + 21x + -21x Combine like terms: 21x + -21x = 0 9 + -26x = 35 + 0 9 + -26x = 35 Add '-9' to each side of the equation. 9 + -9 + -26x = 35 + -9 Combine like terms: 9 + -9 = 0 0 + -26x = 35 + -9 -26x = 35 + -9 Combine like terms: 35 + -9 = 26 -26x = 26 Divide each side by '-26'. x = -1 Simplifying x = -1
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