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Simplifying 12x + 71 = 7x + 11 Reorder the terms: 71 + 12x = 7x + 11 Reorder the terms: 71 + 12x = 11 + 7x Solving 71 + 12x = 11 + 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 + 12x + -7x = 11 + 7x + -7x Combine like terms: 12x + -7x = 5x 71 + 5x = 11 + 7x + -7x Combine like terms: 7x + -7x = 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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