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Simplifying 5x + -22 = 14x + -78 Reorder the terms: -22 + 5x = 14x + -78 Reorder the terms: -22 + 5x = -78 + 14x Solving -22 + 5x = -78 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -22 + 5x + -14x = -78 + 14x + -14x Combine like terms: 5x + -14x = -9x -22 + -9x = -78 + 14x + -14x Combine like terms: 14x + -14x = 0 -22 + -9x = -78 + 0 -22 + -9x = -78 Add '22' to each side of the equation. -22 + 22 + -9x = -78 + 22 Combine like terms: -22 + 22 = 0 0 + -9x = -78 + 22 -9x = -78 + 22 Combine like terms: -78 + 22 = -56 -9x = -56 Divide each side by '-9'. x = 6.222222222 Simplifying x = 6.222222222
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