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Simplifying 5 + 7x = 47 + x Solving 5 + 7x = 47 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + 7x + -1x = 47 + x + -1x Combine like terms: 7x + -1x = 6x 5 + 6x = 47 + x + -1x Combine like terms: x + -1x = 0 5 + 6x = 47 + 0 5 + 6x = 47 Add '-5' to each side of the equation. 5 + -5 + 6x = 47 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 47 + -5 6x = 47 + -5 Combine like terms: 47 + -5 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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