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Simplifying 11x + 6x + -31 = 6x + 2x + 50 Reorder the terms: -31 + 11x + 6x = 6x + 2x + 50 Combine like terms: 11x + 6x = 17x -31 + 17x = 6x + 2x + 50 Reorder the terms: -31 + 17x = 50 + 6x + 2x Combine like terms: 6x + 2x = 8x -31 + 17x = 50 + 8x Solving -31 + 17x = 50 + 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. -31 + 17x + -8x = 50 + 8x + -8x Combine like terms: 17x + -8x = 9x -31 + 9x = 50 + 8x + -8x Combine like terms: 8x + -8x = 0 -31 + 9x = 50 + 0 -31 + 9x = 50 Add '31' to each side of the equation. -31 + 31 + 9x = 50 + 31 Combine like terms: -31 + 31 = 0 0 + 9x = 50 + 31 9x = 50 + 31 Combine like terms: 50 + 31 = 81 9x = 81 Divide each side by '9'. x = 9 Simplifying x = 9
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