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Simplifying 6 + -7x = 47 + -14x Solving 6 + -7x = 47 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 6 + -7x + 14x = 47 + -14x + 14x Combine like terms: -7x + 14x = 7x 6 + 7x = 47 + -14x + 14x Combine like terms: -14x + 14x = 0 6 + 7x = 47 + 0 6 + 7x = 47 Add '-6' to each side of the equation. 6 + -6 + 7x = 47 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 47 + -6 7x = 47 + -6 Combine like terms: 47 + -6 = 41 7x = 41 Divide each side by '7'. x = 5.857142857 Simplifying x = 5.857142857
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