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Simplifying 3x + -4 + 6 = 12 + -7x Reorder the terms: -4 + 6 + 3x = 12 + -7x Combine like terms: -4 + 6 = 2 2 + 3x = 12 + -7x Solving 2 + 3x = 12 + -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. 2 + 3x + 7x = 12 + -7x + 7x Combine like terms: 3x + 7x = 10x 2 + 10x = 12 + -7x + 7x Combine like terms: -7x + 7x = 0 2 + 10x = 12 + 0 2 + 10x = 12 Add '-2' to each side of the equation. 2 + -2 + 10x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 10x = 12 + -2 10x = 12 + -2 Combine like terms: 12 + -2 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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