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Simplifying 83x + -22 = 78 + -17x Reorder the terms: -22 + 83x = 78 + -17x Solving -22 + 83x = 78 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. -22 + 83x + 17x = 78 + -17x + 17x Combine like terms: 83x + 17x = 100x -22 + 100x = 78 + -17x + 17x Combine like terms: -17x + 17x = 0 -22 + 100x = 78 + 0 -22 + 100x = 78 Add '22' to each side of the equation. -22 + 22 + 100x = 78 + 22 Combine like terms: -22 + 22 = 0 0 + 100x = 78 + 22 100x = 78 + 22 Combine like terms: 78 + 22 = 100 100x = 100 Divide each side by '100'. x = 1 Simplifying x = 1
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