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Simplifying -3(-6x + 2) + 6(4x + -3) = -78 Reorder the terms: -3(2 + -6x) + 6(4x + -3) = -78 (2 * -3 + -6x * -3) + 6(4x + -3) = -78 (-6 + 18x) + 6(4x + -3) = -78 Reorder the terms: -6 + 18x + 6(-3 + 4x) = -78 -6 + 18x + (-3 * 6 + 4x * 6) = -78 -6 + 18x + (-18 + 24x) = -78 Reorder the terms: -6 + -18 + 18x + 24x = -78 Combine like terms: -6 + -18 = -24 -24 + 18x + 24x = -78 Combine like terms: 18x + 24x = 42x -24 + 42x = -78 Solving -24 + 42x = -78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 42x = -78 + 24 Combine like terms: -24 + 24 = 0 0 + 42x = -78 + 24 42x = -78 + 24 Combine like terms: -78 + 24 = -54 42x = -54 Divide each side by '42'. x = -1.285714286 Simplifying x = -1.285714286
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