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Simplifying 11x + -71 = 109 + 2x Reorder the terms: -71 + 11x = 109 + 2x Solving -71 + 11x = 109 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -71 + 11x + -2x = 109 + 2x + -2x Combine like terms: 11x + -2x = 9x -71 + 9x = 109 + 2x + -2x Combine like terms: 2x + -2x = 0 -71 + 9x = 109 + 0 -71 + 9x = 109 Add '71' to each side of the equation. -71 + 71 + 9x = 109 + 71 Combine like terms: -71 + 71 = 0 0 + 9x = 109 + 71 9x = 109 + 71 Combine like terms: 109 + 71 = 180 9x = 180 Divide each side by '9'. x = 20 Simplifying x = 20
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