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Simplifying 5x + -6 = -78 + -9x Reorder the terms: -6 + 5x = -78 + -9x Solving -6 + 5x = -78 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -6 + 5x + 9x = -78 + -9x + 9x Combine like terms: 5x + 9x = 14x -6 + 14x = -78 + -9x + 9x Combine like terms: -9x + 9x = 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 = -72 14x = -72 Divide each side by '14'. x = -5.142857143 Simplifying x = -5.142857143
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