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Simplifying 7x + -2 + -1(6 + -2x + -2) = 12 Reorder the terms: 7x + -2 + -1(6 + -2 + -2x) = 12 Combine like terms: 6 + -2 = 4 7x + -2 + -1(4 + -2x) = 12 7x + -2 + (4 * -1 + -2x * -1) = 12 7x + -2 + (-4 + 2x) = 12 Reorder the terms: -2 + -4 + 7x + 2x = 12 Combine like terms: -2 + -4 = -6 -6 + 7x + 2x = 12 Combine like terms: 7x + 2x = 9x -6 + 9x = 12 Solving -6 + 9x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 9x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = 12 + 6 9x = 12 + 6 Combine like terms: 12 + 6 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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