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Simplifying 3x + 71 = 8x + 11 Reorder the terms: 71 + 3x = 8x + 11 Reorder the terms: 71 + 3x = 11 + 8x Solving 71 + 3x = 11 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 71 + 3x + -8x = 11 + 8x + -8x Combine like terms: 3x + -8x = -5x 71 + -5x = 11 + 8x + -8x Combine like terms: 8x + -8x = 0 71 + -5x = 11 + 0 71 + -5x = 11 Add '-71' to each side of the equation. 71 + -71 + -5x = 11 + -71 Combine like terms: 71 + -71 = 0 0 + -5x = 11 + -71 -5x = 11 + -71 Combine like terms: 11 + -71 = -60 -5x = -60 Divide each side by '-5'. x = 12 Simplifying x = 12
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