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Simplifying -78 = 3x + -6(5x + -14) Reorder the terms: -78 = 3x + -6(-14 + 5x) -78 = 3x + (-14 * -6 + 5x * -6) -78 = 3x + (84 + -30x) Reorder the terms: -78 = 84 + 3x + -30x Combine like terms: 3x + -30x = -27x -78 = 84 + -27x Solving -78 = 84 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. -78 + 27x = 84 + -27x + 27x Combine like terms: -27x + 27x = 0 -78 + 27x = 84 + 0 -78 + 27x = 84 Add '78' to each side of the equation. -78 + 78 + 27x = 84 + 78 Combine like terms: -78 + 78 = 0 0 + 27x = 84 + 78 27x = 84 + 78 Combine like terms: 84 + 78 = 162 27x = 162 Divide each side by '27'. x = 6 Simplifying x = 6
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