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Simplifying 6(2x + -5) + 4x = -78 Reorder the terms: 6(-5 + 2x) + 4x = -78 (-5 * 6 + 2x * 6) + 4x = -78 (-30 + 12x) + 4x = -78 Combine like terms: 12x + 4x = 16x -30 + 16x = -78 Solving -30 + 16x = -78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 16x = -78 + 30 Combine like terms: -30 + 30 = 0 0 + 16x = -78 + 30 16x = -78 + 30 Combine like terms: -78 + 30 = -48 16x = -48 Divide each side by '16'. x = -3 Simplifying x = -3
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