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Simplifying 3(6x + -6) + 2(8x + 7) = -72 Reorder the terms: 3(-6 + 6x) + 2(8x + 7) = -72 (-6 * 3 + 6x * 3) + 2(8x + 7) = -72 (-18 + 18x) + 2(8x + 7) = -72 Reorder the terms: -18 + 18x + 2(7 + 8x) = -72 -18 + 18x + (7 * 2 + 8x * 2) = -72 -18 + 18x + (14 + 16x) = -72 Reorder the terms: -18 + 14 + 18x + 16x = -72 Combine like terms: -18 + 14 = -4 -4 + 18x + 16x = -72 Combine like terms: 18x + 16x = 34x -4 + 34x = -72 Solving -4 + 34x = -72 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 34x = -72 + 4 Combine like terms: -4 + 4 = 0 0 + 34x = -72 + 4 34x = -72 + 4 Combine like terms: -72 + 4 = -68 34x = -68 Divide each side by '34'. x = -2 Simplifying x = -2
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