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Simplifying [7x + -17] = [10x + 9] Reorder the terms: [-17 + 7x] = [10x + 9] Remove brackets around [-17 + 7x] -17 + 7x = [10x + 9] Reorder the terms: -17 + 7x = [9 + 10x] Remove brackets around [9 + 10x] -17 + 7x = 9 + 10x Solving -17 + 7x = 9 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -17 + 7x + -10x = 9 + 10x + -10x Combine like terms: 7x + -10x = -3x -17 + -3x = 9 + 10x + -10x Combine like terms: 10x + -10x = 0 -17 + -3x = 9 + 0 -17 + -3x = 9 Add '17' to each side of the equation. -17 + 17 + -3x = 9 + 17 Combine like terms: -17 + 17 = 0 0 + -3x = 9 + 17 -3x = 9 + 17 Combine like terms: 9 + 17 = 26 -3x = 26 Divide each side by '-3'. x = -8.666666667 Simplifying x = -8.666666667
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