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Simplifying 7 + 7x = 47 + x Solving 7 + 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. 7 + 7x + -1x = 47 + x + -1x Combine like terms: 7x + -1x = 6x 7 + 6x = 47 + x + -1x Combine like terms: x + -1x = 0 7 + 6x = 47 + 0 7 + 6x = 47 Add '-7' to each side of the equation. 7 + -7 + 6x = 47 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = 47 + -7 6x = 47 + -7 Combine like terms: 47 + -7 = 40 6x = 40 Divide each side by '6'. x = 6.666666667 Simplifying x = 6.666666667
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