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Simplifying 3x + -2(2x + 6) = 6 Reorder the terms: 3x + -2(6 + 2x) = 6 3x + (6 * -2 + 2x * -2) = 6 3x + (-12 + -4x) = 6 Reorder the terms: -12 + 3x + -4x = 6 Combine like terms: 3x + -4x = -1x -12 + -1x = 6 Solving -12 + -1x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 6 + 12 -1x = 6 + 12 Combine like terms: 6 + 12 = 18 -1x = 18 Divide each side by '-1'. x = -18 Simplifying x = -18
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