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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 = 6x -36 + 6x = -78 Solving -36 + 6x = -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 + 6x = -78 + 36 Combine like terms: -36 + 36 = 0 0 + 6x = -78 + 36 6x = -78 + 36 Combine like terms: -78 + 36 = -42 6x = -42 Divide each side by '6'. x = -7 Simplifying x = -7
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