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Simplifying -78 = 3x + 2(x + -9) Reorder the terms: -78 = 3x + 2(-9 + x) -78 = 3x + (-9 * 2 + x * 2) -78 = 3x + (-18 + 2x) Reorder the terms: -78 = -18 + 3x + 2x Combine like terms: 3x + 2x = 5x -78 = -18 + 5x Solving -78 = -18 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -78 + -5x = -18 + 5x + -5x Combine like terms: 5x + -5x = 0 -78 + -5x = -18 + 0 -78 + -5x = -18 Add '78' to each side of the equation. -78 + 78 + -5x = -18 + 78 Combine like terms: -78 + 78 = 0 0 + -5x = -18 + 78 -5x = -18 + 78 Combine like terms: -18 + 78 = 60 -5x = 60 Divide each side by '-5'. x = -12 Simplifying x = -12
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