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Simplifying 100 + -6x = 8x + 22 Reorder the terms: 100 + -6x = 22 + 8x Solving 100 + -6x = 22 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 100 + -6x + -8x = 22 + 8x + -8x Combine like terms: -6x + -8x = -14x 100 + -14x = 22 + 8x + -8x Combine like terms: 8x + -8x = 0 100 + -14x = 22 + 0 100 + -14x = 22 Add '-100' to each side of the equation. 100 + -100 + -14x = 22 + -100 Combine like terms: 100 + -100 = 0 0 + -14x = 22 + -100 -14x = 22 + -100 Combine like terms: 22 + -100 = -78 -14x = -78 Divide each side by '-14'. x = 5.571428571 Simplifying x = 5.571428571
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