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