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Simplifying 26x + -17 + -35x = 20 + -16x + 12 Reorder the terms: -17 + 26x + -35x = 20 + -16x + 12 Combine like terms: 26x + -35x = -9x -17 + -9x = 20 + -16x + 12 Reorder the terms: -17 + -9x = 20 + 12 + -16x Combine like terms: 20 + 12 = 32 -17 + -9x = 32 + -16x Solving -17 + -9x = 32 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -17 + -9x + 16x = 32 + -16x + 16x Combine like terms: -9x + 16x = 7x -17 + 7x = 32 + -16x + 16x Combine like terms: -16x + 16x = 0 -17 + 7x = 32 + 0 -17 + 7x = 32 Add '17' to each side of the equation. -17 + 17 + 7x = 32 + 17 Combine like terms: -17 + 17 = 0 0 + 7x = 32 + 17 7x = 32 + 17 Combine like terms: 32 + 17 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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