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Simplifying 7x + -1 = 12x + -1 Reorder the terms: -1 + 7x = 12x + -1 Reorder the terms: -1 + 7x = -1 + 12x Add '1' to each side of the equation. -1 + 1 + 7x = -1 + 1 + 12x Combine like terms: -1 + 1 = 0 0 + 7x = -1 + 1 + 12x 7x = -1 + 1 + 12x Combine like terms: -1 + 1 = 0 7x = 0 + 12x 7x = 12x Solving 7x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 7x + -12x = 12x + -12x Combine like terms: 7x + -12x = -5x -5x = 12x + -12x Combine like terms: 12x + -12x = 0 -5x = 0 Divide each side by '-5'. x = 0 Simplifying x = 0
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