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Simplifying 12 + -2x + -3(x + 2) = 4x + 6 + -1x Reorder the terms: 12 + -2x + -3(2 + x) = 4x + 6 + -1x 12 + -2x + (2 * -3 + x * -3) = 4x + 6 + -1x 12 + -2x + (-6 + -3x) = 4x + 6 + -1x Reorder the terms: 12 + -6 + -2x + -3x = 4x + 6 + -1x Combine like terms: 12 + -6 = 6 6 + -2x + -3x = 4x + 6 + -1x Combine like terms: -2x + -3x = -5x 6 + -5x = 4x + 6 + -1x Reorder the terms: 6 + -5x = 6 + 4x + -1x Combine like terms: 4x + -1x = 3x 6 + -5x = 6 + 3x Add '-6' to each side of the equation. 6 + -6 + -5x = 6 + -6 + 3x Combine like terms: 6 + -6 = 0 0 + -5x = 6 + -6 + 3x -5x = 6 + -6 + 3x Combine like terms: 6 + -6 = 0 -5x = 0 + 3x -5x = 3x Solving -5x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -5x + -3x = 3x + -3x Combine like terms: -5x + -3x = -8x -8x = 3x + -3x Combine like terms: 3x + -3x = 0 -8x = 0 Divide each side by '-8'. x = 0 Simplifying x = 0
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