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Simplifying 30 + -6(x + 3) + 2 = 8 Reorder the terms: 30 + -6(3 + x) + 2 = 8 30 + (3 * -6 + x * -6) + 2 = 8 30 + (-18 + -6x) + 2 = 8 Reorder the terms: 30 + -18 + 2 + -6x = 8 Combine like terms: 30 + -18 = 12 12 + 2 + -6x = 8 Combine like terms: 12 + 2 = 14 14 + -6x = 8 Solving 14 + -6x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -6x = 8 + -14 Combine like terms: 14 + -14 = 0 0 + -6x = 8 + -14 -6x = 8 + -14 Combine like terms: 8 + -14 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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