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Simplifying x + 71 = 10x + 11 Reorder the terms: 71 + x = 10x + 11 Reorder the terms: 71 + x = 11 + 10x Solving 71 + x = 11 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 71 + x + -10x = 11 + 10x + -10x Combine like terms: x + -10x = -9x 71 + -9x = 11 + 10x + -10x Combine like terms: 10x + -10x = 0 71 + -9x = 11 + 0 71 + -9x = 11 Add '-71' to each side of the equation. 71 + -71 + -9x = 11 + -71 Combine like terms: 71 + -71 = 0 0 + -9x = 11 + -71 -9x = 11 + -71 Combine like terms: 11 + -71 = -60 -9x = -60 Divide each side by '-9'. x = 6.666666667 Simplifying x = 6.666666667
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