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Simplifying 12x + 46 = 7x + 1 Reorder the terms: 46 + 12x = 7x + 1 Reorder the terms: 46 + 12x = 1 + 7x Solving 46 + 12x = 1 + 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. 46 + 12x + -7x = 1 + 7x + -7x Combine like terms: 12x + -7x = 5x 46 + 5x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 46 + 5x = 1 + 0 46 + 5x = 1 Add '-46' to each side of the equation. 46 + -46 + 5x = 1 + -46 Combine like terms: 46 + -46 = 0 0 + 5x = 1 + -46 5x = 1 + -46 Combine like terms: 1 + -46 = -45 5x = -45 Divide each side by '5'. x = -9 Simplifying x = -9
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