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Simplifying 5x + -6x + -2x = 3x + -18 + 12 + -6 Combine like terms: 5x + -6x = -1x -1x + -2x = 3x + -18 + 12 + -6 Combine like terms: -1x + -2x = -3x -3x = 3x + -18 + 12 + -6 Reorder the terms: -3x = -18 + 12 + -6 + 3x Combine like terms: -18 + 12 = -6 -3x = -6 + -6 + 3x Combine like terms: -6 + -6 = -12 -3x = -12 + 3x Solving -3x = -12 + 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. -3x + -3x = -12 + 3x + -3x Combine like terms: -3x + -3x = -6x -6x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -6x = -12 + 0 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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