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Simplifying 12x + -4 = 7x + 1 Reorder the terms: -4 + 12x = 7x + 1 Reorder the terms: -4 + 12x = 1 + 7x Solving -4 + 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. -4 + 12x + -7x = 1 + 7x + -7x Combine like terms: 12x + -7x = 5x -4 + 5x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + 5x = 1 + 0 -4 + 5x = 1 Add '4' to each side of the equation. -4 + 4 + 5x = 1 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = 1 + 4 5x = 1 + 4 Combine like terms: 1 + 4 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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