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Simplifying -71 + 7x = 29 + 2x Solving -71 + 7x = 29 + 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 + 7x + -2x = 29 + 2x + -2x Combine like terms: 7x + -2x = 5x -71 + 5x = 29 + 2x + -2x Combine like terms: 2x + -2x = 0 -71 + 5x = 29 + 0 -71 + 5x = 29 Add '71' to each side of the equation. -71 + 71 + 5x = 29 + 71 Combine like terms: -71 + 71 = 0 0 + 5x = 29 + 71 5x = 29 + 71 Combine like terms: 29 + 71 = 100 5x = 100 Divide each side by '5'. x = 20 Simplifying x = 20
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