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Simplifying 4x + 3(x + 2 + -2x) = 12 Reorder the terms: 4x + 3(2 + x + -2x) = 12 Combine like terms: x + -2x = -1x 4x + 3(2 + -1x) = 12 4x + (2 * 3 + -1x * 3) = 12 4x + (6 + -3x) = 12 Reorder the terms: 6 + 4x + -3x = 12 Combine like terms: 4x + -3x = 1x 6 + 1x = 12 Solving 6 + 1x = 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 + 1x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 12 + -6 1x = 12 + -6 Combine like terms: 12 + -6 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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