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Simplifying -4(4x + 5) + -4x + 2 = -78 Reorder the terms: -4(5 + 4x) + -4x + 2 = -78 (5 * -4 + 4x * -4) + -4x + 2 = -78 (-20 + -16x) + -4x + 2 = -78 Reorder the terms: -20 + 2 + -16x + -4x = -78 Combine like terms: -20 + 2 = -18 -18 + -16x + -4x = -78 Combine like terms: -16x + -4x = -20x -18 + -20x = -78 Solving -18 + -20x = -78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -20x = -78 + 18 Combine like terms: -18 + 18 = 0 0 + -20x = -78 + 18 -20x = -78 + 18 Combine like terms: -78 + 18 = -60 -20x = -60 Divide each side by '-20'. x = 3 Simplifying x = 3
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