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Simplifying 6 + 3x + -7(x + 2) = 12 Reorder the terms: 6 + 3x + -7(2 + x) = 12 6 + 3x + (2 * -7 + x * -7) = 12 6 + 3x + (-14 + -7x) = 12 Reorder the terms: 6 + -14 + 3x + -7x = 12 Combine like terms: 6 + -14 = -8 -8 + 3x + -7x = 12 Combine like terms: 3x + -7x = -4x -8 + -4x = 12 Solving -8 + -4x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -4x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = 12 + 8 -4x = 12 + 8 Combine like terms: 12 + 8 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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