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Simplifying -5(-7x + 3) + -5x = 3(-5 + 7x) Reorder the terms: -5(3 + -7x) + -5x = 3(-5 + 7x) (3 * -5 + -7x * -5) + -5x = 3(-5 + 7x) (-15 + 35x) + -5x = 3(-5 + 7x) Combine like terms: 35x + -5x = 30x -15 + 30x = 3(-5 + 7x) -15 + 30x = (-5 * 3 + 7x * 3) -15 + 30x = (-15 + 21x) Add '15' to each side of the equation. -15 + 15 + 30x = -15 + 15 + 21x Combine like terms: -15 + 15 = 0 0 + 30x = -15 + 15 + 21x 30x = -15 + 15 + 21x Combine like terms: -15 + 15 = 0 30x = 0 + 21x 30x = 21x Solving 30x = 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. 30x + -21x = 21x + -21x Combine like terms: 30x + -21x = 9x 9x = 21x + -21x Combine like terms: 21x + -21x = 0 9x = 0 Divide each side by '9'. x = 0 Simplifying x = 0
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