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Simplifying -2(-9x + 7) = 12(7 + -6x) + -8x Reorder the terms: -2(7 + -9x) = 12(7 + -6x) + -8x (7 * -2 + -9x * -2) = 12(7 + -6x) + -8x (-14 + 18x) = 12(7 + -6x) + -8x -14 + 18x = (7 * 12 + -6x * 12) + -8x -14 + 18x = (84 + -72x) + -8x Combine like terms: -72x + -8x = -80x -14 + 18x = 84 + -80x Solving -14 + 18x = 84 + -80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '80x' to each side of the equation. -14 + 18x + 80x = 84 + -80x + 80x Combine like terms: 18x + 80x = 98x -14 + 98x = 84 + -80x + 80x Combine like terms: -80x + 80x = 0 -14 + 98x = 84 + 0 -14 + 98x = 84 Add '14' to each side of the equation. -14 + 14 + 98x = 84 + 14 Combine like terms: -14 + 14 = 0 0 + 98x = 84 + 14 98x = 84 + 14 Combine like terms: 84 + 14 = 98 98x = 98 Divide each side by '98'. x = 1 Simplifying x = 1
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