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Simplifying -3(-6x + 6) + 6(4x + -3) = -78 Reorder the terms: -3(6 + -6x) + 6(4x + -3) = -78 (6 * -3 + -6x * -3) + 6(4x + -3) = -78 (-18 + 18x) + 6(4x + -3) = -78 Reorder the terms: -18 + 18x + 6(-3 + 4x) = -78 -18 + 18x + (-3 * 6 + 4x * 6) = -78 -18 + 18x + (-18 + 24x) = -78 Reorder the terms: -18 + -18 + 18x + 24x = -78 Combine like terms: -18 + -18 = -36 -36 + 18x + 24x = -78 Combine like terms: 18x + 24x = 42x -36 + 42x = -78 Solving -36 + 42x = -78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 42x = -78 + 36 Combine like terms: -36 + 36 = 0 0 + 42x = -78 + 36 42x = -78 + 36 Combine like terms: -78 + 36 = -42 42x = -42 Divide each side by '42'. x = -1 Simplifying x = -1
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