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Simplifying 3x + 6 + -8x + -12 = -3x + 2 Reorder the terms: 6 + -12 + 3x + -8x = -3x + 2 Combine like terms: 6 + -12 = -6 -6 + 3x + -8x = -3x + 2 Combine like terms: 3x + -8x = -5x -6 + -5x = -3x + 2 Reorder the terms: -6 + -5x = 2 + -3x Solving -6 + -5x = 2 + -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. -6 + -5x + 3x = 2 + -3x + 3x Combine like terms: -5x + 3x = -2x -6 + -2x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + -2x = 2 + 0 -6 + -2x = 2 Add '6' to each side of the equation. -6 + 6 + -2x = 2 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 2 + 6 -2x = 2 + 6 Combine like terms: 2 + 6 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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