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Simplifying 6 + -7x = 46 + -21x Solving 6 + -7x = 46 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. 6 + -7x + 21x = 46 + -21x + 21x Combine like terms: -7x + 21x = 14x 6 + 14x = 46 + -21x + 21x Combine like terms: -21x + 21x = 0 6 + 14x = 46 + 0 6 + 14x = 46 Add '-6' to each side of the equation. 6 + -6 + 14x = 46 + -6 Combine like terms: 6 + -6 = 0 0 + 14x = 46 + -6 14x = 46 + -6 Combine like terms: 46 + -6 = 40 14x = 40 Divide each side by '14'. x = 2.857142857 Simplifying x = 2.857142857
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