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Simplifying -2(-9x + 7) = 12(7 + -6x) + -8 Reorder the terms: -2(7 + -9x) = 12(7 + -6x) + -8 (7 * -2 + -9x * -2) = 12(7 + -6x) + -8 (-14 + 18x) = 12(7 + -6x) + -8 -14 + 18x = (7 * 12 + -6x * 12) + -8 -14 + 18x = (84 + -72x) + -8 Reorder the terms: -14 + 18x = 84 + -8 + -72x Combine like terms: 84 + -8 = 76 -14 + 18x = 76 + -72x Solving -14 + 18x = 76 + -72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '72x' to each side of the equation. -14 + 18x + 72x = 76 + -72x + 72x Combine like terms: 18x + 72x = 90x -14 + 90x = 76 + -72x + 72x Combine like terms: -72x + 72x = 0 -14 + 90x = 76 + 0 -14 + 90x = 76 Add '14' to each side of the equation. -14 + 14 + 90x = 76 + 14 Combine like terms: -14 + 14 = 0 0 + 90x = 76 + 14 90x = 76 + 14 Combine like terms: 76 + 14 = 90 90x = 90 Divide each side by '90'. x = 1 Simplifying x = 1
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