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Simplifying 5x + 8 = -78 + -9x Reorder the terms: 8 + 5x = -78 + -9x Solving 8 + 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. 8 + 5x + 9x = -78 + -9x + 9x Combine like terms: 5x + 9x = 14x 8 + 14x = -78 + -9x + 9x Combine like terms: -9x + 9x = 0 8 + 14x = -78 + 0 8 + 14x = -78 Add '-8' to each side of the equation. 8 + -8 + 14x = -78 + -8 Combine like terms: 8 + -8 = 0 0 + 14x = -78 + -8 14x = -78 + -8 Combine like terms: -78 + -8 = -86 14x = -86 Divide each side by '14'. x = -6.142857143 Simplifying x = -6.142857143
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