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Simplifying 12x + -24 = 7x + 1 Reorder the terms: -24 + 12x = 7x + 1 Reorder the terms: -24 + 12x = 1 + 7x Solving -24 + 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. -24 + 12x + -7x = 1 + 7x + -7x Combine like terms: 12x + -7x = 5x -24 + 5x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 -24 + 5x = 1 + 0 -24 + 5x = 1 Add '24' to each side of the equation. -24 + 24 + 5x = 1 + 24 Combine like terms: -24 + 24 = 0 0 + 5x = 1 + 24 5x = 1 + 24 Combine like terms: 1 + 24 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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