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Simplifying -74 + 12x = 7x + 71 Reorder the terms: -74 + 12x = 71 + 7x Solving -74 + 12x = 71 + 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. -74 + 12x + -7x = 71 + 7x + -7x Combine like terms: 12x + -7x = 5x -74 + 5x = 71 + 7x + -7x Combine like terms: 7x + -7x = 0 -74 + 5x = 71 + 0 -74 + 5x = 71 Add '74' to each side of the equation. -74 + 74 + 5x = 71 + 74 Combine like terms: -74 + 74 = 0 0 + 5x = 71 + 74 5x = 71 + 74 Combine like terms: 71 + 74 = 145 5x = 145 Divide each side by '5'. x = 29 Simplifying x = 29
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