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Simplifying -51 = -7(5x + -1) + 6x Reorder the terms: -51 = -7(-1 + 5x) + 6x -51 = (-1 * -7 + 5x * -7) + 6x -51 = (7 + -35x) + 6x Combine like terms: -35x + 6x = -29x -51 = 7 + -29x Solving -51 = 7 + -29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29x' to each side of the equation. -51 + 29x = 7 + -29x + 29x Combine like terms: -29x + 29x = 0 -51 + 29x = 7 + 0 -51 + 29x = 7 Add '51' to each side of the equation. -51 + 51 + 29x = 7 + 51 Combine like terms: -51 + 51 = 0 0 + 29x = 7 + 51 29x = 7 + 51 Combine like terms: 7 + 51 = 58 29x = 58 Divide each side by '29'. x = 2 Simplifying x = 2
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