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Simplifying x + 71 = 6x + 31 Reorder the terms: 71 + x = 6x + 31 Reorder the terms: 71 + x = 31 + 6x Solving 71 + x = 31 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 71 + x + -6x = 31 + 6x + -6x Combine like terms: x + -6x = -5x 71 + -5x = 31 + 6x + -6x Combine like terms: 6x + -6x = 0 71 + -5x = 31 + 0 71 + -5x = 31 Add '-71' to each side of the equation. 71 + -71 + -5x = 31 + -71 Combine like terms: 71 + -71 = 0 0 + -5x = 31 + -71 -5x = 31 + -71 Combine like terms: 31 + -71 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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