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Simplifying 7x + -10 = 8x + -17 Reorder the terms: -10 + 7x = 8x + -17 Reorder the terms: -10 + 7x = -17 + 8x Solving -10 + 7x = -17 + 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. -10 + 7x + -8x = -17 + 8x + -8x Combine like terms: 7x + -8x = -1x -10 + -1x = -17 + 8x + -8x Combine like terms: 8x + -8x = 0 -10 + -1x = -17 + 0 -10 + -1x = -17 Add '10' to each side of the equation. -10 + 10 + -1x = -17 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = -17 + 10 -1x = -17 + 10 Combine like terms: -17 + 10 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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