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Simplifying 3x + -6 = 78 + -11x Reorder the terms: -6 + 3x = 78 + -11x Solving -6 + 3x = 78 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -6 + 3x + 11x = 78 + -11x + 11x Combine like terms: 3x + 11x = 14x -6 + 14x = 78 + -11x + 11x Combine like terms: -11x + 11x = 0 -6 + 14x = 78 + 0 -6 + 14x = 78 Add '6' to each side of the equation. -6 + 6 + 14x = 78 + 6 Combine like terms: -6 + 6 = 0 0 + 14x = 78 + 6 14x = 78 + 6 Combine like terms: 78 + 6 = 84 14x = 84 Divide each side by '14'. x = 6 Simplifying x = 6
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