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Simplifying 46 + -6x = 3x + 17 Reorder the terms: 46 + -6x = 17 + 3x Solving 46 + -6x = 17 + 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. 46 + -6x + -3x = 17 + 3x + -3x Combine like terms: -6x + -3x = -9x 46 + -9x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 46 + -9x = 17 + 0 46 + -9x = 17 Add '-46' to each side of the equation. 46 + -46 + -9x = 17 + -46 Combine like terms: 46 + -46 = 0 0 + -9x = 17 + -46 -9x = 17 + -46 Combine like terms: 17 + -46 = -29 -9x = -29 Divide each side by '-9'. x = 3.222222222 Simplifying x = 3.222222222
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