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Simplifying 8x + 71 = 3x + 121 Reorder the terms: 71 + 8x = 3x + 121 Reorder the terms: 71 + 8x = 121 + 3x Solving 71 + 8x = 121 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 71 + 8x + -3x = 121 + 3x + -3x Combine like terms: 8x + -3x = 5x 71 + 5x = 121 + 3x + -3x Combine like terms: 3x + -3x = 0 71 + 5x = 121 + 0 71 + 5x = 121 Add '-71' to each side of the equation. 71 + -71 + 5x = 121 + -71 Combine like terms: 71 + -71 = 0 0 + 5x = 121 + -71 5x = 121 + -71 Combine like terms: 121 + -71 = 50 5x = 50 Divide each side by '5'. x = 10 Simplifying x = 10
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