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Simplifying 6(6x + -1) = 7(5x + -2) Reorder the terms: 6(-1 + 6x) = 7(5x + -2) (-1 * 6 + 6x * 6) = 7(5x + -2) (-6 + 36x) = 7(5x + -2) Reorder the terms: -6 + 36x = 7(-2 + 5x) -6 + 36x = (-2 * 7 + 5x * 7) -6 + 36x = (-14 + 35x) Solving -6 + 36x = -14 + 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. -6 + 36x + -35x = -14 + 35x + -35x Combine like terms: 36x + -35x = 1x -6 + 1x = -14 + 35x + -35x Combine like terms: 35x + -35x = 0 -6 + 1x = -14 + 0 -6 + 1x = -14 Add '6' to each side of the equation. -6 + 6 + 1x = -14 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = -14 + 6 1x = -14 + 6 Combine like terms: -14 + 6 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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