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Simplifying 12x + -4 = 5x + -1 + 5x + -1 Reorder the terms: -4 + 12x = 5x + -1 + 5x + -1 Reorder the terms: -4 + 12x = -1 + -1 + 5x + 5x Combine like terms: -1 + -1 = -2 -4 + 12x = -2 + 5x + 5x Combine like terms: 5x + 5x = 10x -4 + 12x = -2 + 10x Solving -4 + 12x = -2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -4 + 12x + -10x = -2 + 10x + -10x Combine like terms: 12x + -10x = 2x -4 + 2x = -2 + 10x + -10x Combine like terms: 10x + -10x = 0 -4 + 2x = -2 + 0 -4 + 2x = -2 Add '4' to each side of the equation. -4 + 4 + 2x = -2 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = -2 + 4 2x = -2 + 4 Combine like terms: -2 + 4 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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