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Simplifying 6(5x + 4) + 6x + -2 = 5(7x + 2) Reorder the terms: 6(4 + 5x) + 6x + -2 = 5(7x + 2) (4 * 6 + 5x * 6) + 6x + -2 = 5(7x + 2) (24 + 30x) + 6x + -2 = 5(7x + 2) Reorder the terms: 24 + -2 + 30x + 6x = 5(7x + 2) Combine like terms: 24 + -2 = 22 22 + 30x + 6x = 5(7x + 2) Combine like terms: 30x + 6x = 36x 22 + 36x = 5(7x + 2) Reorder the terms: 22 + 36x = 5(2 + 7x) 22 + 36x = (2 * 5 + 7x * 5) 22 + 36x = (10 + 35x) Solving 22 + 36x = 10 + 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. 22 + 36x + -35x = 10 + 35x + -35x Combine like terms: 36x + -35x = 1x 22 + 1x = 10 + 35x + -35x Combine like terms: 35x + -35x = 0 22 + 1x = 10 + 0 22 + 1x = 10 Add '-22' to each side of the equation. 22 + -22 + 1x = 10 + -22 Combine like terms: 22 + -22 = 0 0 + 1x = 10 + -22 1x = 10 + -22 Combine like terms: 10 + -22 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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