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Simplifying 2x + 6 = 54 + -84 Reorder the terms: 6 + 2x = 54 + -84 Combine like terms: 54 + -84 = -30 6 + 2x = -30 Solving 6 + 2x = -30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 2x = -30 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = -30 + -6 2x = -30 + -6 Combine like terms: -30 + -6 = -36 2x = -36 Divide each side by '2'. x = -18 Simplifying x = -18
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