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