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Simplifying 78 + -5x = 9x + 22 Reorder the terms: 78 + -5x = 22 + 9x Solving 78 + -5x = 22 + 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. 78 + -5x + -9x = 22 + 9x + -9x Combine like terms: -5x + -9x = -14x 78 + -14x = 22 + 9x + -9x Combine like terms: 9x + -9x = 0 78 + -14x = 22 + 0 78 + -14x = 22 Add '-78' to each side of the equation. 78 + -78 + -14x = 22 + -78 Combine like terms: 78 + -78 = 0 0 + -14x = 22 + -78 -14x = 22 + -78 Combine like terms: 22 + -78 = -56 -14x = -56 Divide each side by '-14'. x = 4 Simplifying x = 4
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