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Simplifying 6x + 14 = 46 + -9x Reorder the terms: 14 + 6x = 46 + -9x Solving 14 + 6x = 46 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 14 + 6x + 9x = 46 + -9x + 9x Combine like terms: 6x + 9x = 15x 14 + 15x = 46 + -9x + 9x Combine like terms: -9x + 9x = 0 14 + 15x = 46 + 0 14 + 15x = 46 Add '-14' to each side of the equation. 14 + -14 + 15x = 46 + -14 Combine like terms: 14 + -14 = 0 0 + 15x = 46 + -14 15x = 46 + -14 Combine like terms: 46 + -14 = 32 15x = 32 Divide each side by '15'. x = 2.133333333 Simplifying x = 2.133333333
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