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Simplifying 5x + 6x + -2x = 3x + 12 + -18 Combine like terms: 5x + 6x = 11x 11x + -2x = 3x + 12 + -18 Combine like terms: 11x + -2x = 9x 9x = 3x + 12 + -18 Reorder the terms: 9x = 12 + -18 + 3x Combine like terms: 12 + -18 = -6 9x = -6 + 3x Solving 9x = -6 + 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. 9x + -3x = -6 + 3x + -3x Combine like terms: 9x + -3x = 6x 6x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 6x = -6 + 0 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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