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Simplifying 12x + 3 + -7 = 2x + 6 Reorder the terms: 3 + -7 + 12x = 2x + 6 Combine like terms: 3 + -7 = -4 -4 + 12x = 2x + 6 Reorder the terms: -4 + 12x = 6 + 2x Solving -4 + 12x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -4 + 12x + -2x = 6 + 2x + -2x Combine like terms: 12x + -2x = 10x -4 + 10x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 10x = 6 + 0 -4 + 10x = 6 Add '4' to each side of the equation. -4 + 4 + 10x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 10x = 6 + 4 10x = 6 + 4 Combine like terms: 6 + 4 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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