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Simplifying -10(3 + -4x) + 51 = 7(5x + 3) (3 * -10 + -4x * -10) + 51 = 7(5x + 3) (-30 + 40x) + 51 = 7(5x + 3) Reorder the terms: -30 + 51 + 40x = 7(5x + 3) Combine like terms: -30 + 51 = 21 21 + 40x = 7(5x + 3) Reorder the terms: 21 + 40x = 7(3 + 5x) 21 + 40x = (3 * 7 + 5x * 7) 21 + 40x = (21 + 35x) Add '-21' to each side of the equation. 21 + -21 + 40x = 21 + -21 + 35x Combine like terms: 21 + -21 = 0 0 + 40x = 21 + -21 + 35x 40x = 21 + -21 + 35x Combine like terms: 21 + -21 = 0 40x = 0 + 35x 40x = 35x Solving 40x = 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. 40x + -35x = 35x + -35x Combine like terms: 40x + -35x = 5x 5x = 35x + -35x Combine like terms: 35x + -35x = 0 5x = 0 Divide each side by '5'. x = 0 Simplifying x = 0
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