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Simplifying 71 + 9x = 83 + 7x Solving 71 + 9x = 83 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 71 + 9x + -7x = 83 + 7x + -7x Combine like terms: 9x + -7x = 2x 71 + 2x = 83 + 7x + -7x Combine like terms: 7x + -7x = 0 71 + 2x = 83 + 0 71 + 2x = 83 Add '-71' to each side of the equation. 71 + -71 + 2x = 83 + -71 Combine like terms: 71 + -71 = 0 0 + 2x = 83 + -71 2x = 83 + -71 Combine like terms: 83 + -71 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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