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Simplifying 5 + 7x = 71 + x Solving 5 + 7x = 71 + 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 = 71 + x + -1x Combine like terms: 7x + -1x = 6x 5 + 6x = 71 + x + -1x Combine like terms: x + -1x = 0 5 + 6x = 71 + 0 5 + 6x = 71 Add '-5' to each side of the equation. 5 + -5 + 6x = 71 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 71 + -5 6x = 71 + -5 Combine like terms: 71 + -5 = 66 6x = 66 Divide each side by '6'. x = 11 Simplifying x = 11
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