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Simplifying 7x + -17 = 8x + 7 Reorder the terms: -17 + 7x = 8x + 7 Reorder the terms: -17 + 7x = 7 + 8x Solving -17 + 7x = 7 + 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. -17 + 7x + -8x = 7 + 8x + -8x Combine like terms: 7x + -8x = -1x -17 + -1x = 7 + 8x + -8x Combine like terms: 8x + -8x = 0 -17 + -1x = 7 + 0 -17 + -1x = 7 Add '17' to each side of the equation. -17 + 17 + -1x = 7 + 17 Combine like terms: -17 + 17 = 0 0 + -1x = 7 + 17 -1x = 7 + 17 Combine like terms: 7 + 17 = 24 -1x = 24 Divide each side by '-1'. x = -24 Simplifying x = -24
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