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Simplifying -1(5x + -3) = 7(3x + 5) Reorder the terms: -1(-3 + 5x) = 7(3x + 5) (-3 * -1 + 5x * -1) = 7(3x + 5) (3 + -5x) = 7(3x + 5) Reorder the terms: 3 + -5x = 7(5 + 3x) 3 + -5x = (5 * 7 + 3x * 7) 3 + -5x = (35 + 21x) Solving 3 + -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. 3 + -5x + -21x = 35 + 21x + -21x Combine like terms: -5x + -21x = -26x 3 + -26x = 35 + 21x + -21x Combine like terms: 21x + -21x = 0 3 + -26x = 35 + 0 3 + -26x = 35 Add '-3' to each side of the equation. 3 + -3 + -26x = 35 + -3 Combine like terms: 3 + -3 = 0 0 + -26x = 35 + -3 -26x = 35 + -3 Combine like terms: 35 + -3 = 32 -26x = 32 Divide each side by '-26'. x = -1.230769231 Simplifying x = -1.230769231
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