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Simplifying 9x + -8 + 35x = 6x + 33 + -3x Reorder the terms: -8 + 9x + 35x = 6x + 33 + -3x Combine like terms: 9x + 35x = 44x -8 + 44x = 6x + 33 + -3x Reorder the terms: -8 + 44x = 33 + 6x + -3x Combine like terms: 6x + -3x = 3x -8 + 44x = 33 + 3x Solving -8 + 44x = 33 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -8 + 44x + -3x = 33 + 3x + -3x Combine like terms: 44x + -3x = 41x -8 + 41x = 33 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + 41x = 33 + 0 -8 + 41x = 33 Add '8' to each side of the equation. -8 + 8 + 41x = 33 + 8 Combine like terms: -8 + 8 = 0 0 + 41x = 33 + 8 41x = 33 + 8 Combine like terms: 33 + 8 = 41 41x = 41 Divide each side by '41'. x = 1 Simplifying x = 1
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