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Simplifying 6x + 5 = 47 + -7x Reorder the terms: 5 + 6x = 47 + -7x Solving 5 + 6x = 47 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 5 + 6x + 7x = 47 + -7x + 7x Combine like terms: 6x + 7x = 13x 5 + 13x = 47 + -7x + 7x Combine like terms: -7x + 7x = 0 5 + 13x = 47 + 0 5 + 13x = 47 Add '-5' to each side of the equation. 5 + -5 + 13x = 47 + -5 Combine like terms: 5 + -5 = 0 0 + 13x = 47 + -5 13x = 47 + -5 Combine like terms: 47 + -5 = 42 13x = 42 Divide each side by '13'. x = 3.230769231 Simplifying x = 3.230769231
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