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Simplifying -6(x + 12) + 276 = 30 + 30 Reorder the terms: -6(12 + x) + 276 = 30 + 30 (12 * -6 + x * -6) + 276 = 30 + 30 (-72 + -6x) + 276 = 30 + 30 Reorder the terms: -72 + 276 + -6x = 30 + 30 Combine like terms: -72 + 276 = 204 204 + -6x = 30 + 30 Combine like terms: 30 + 30 = 60 204 + -6x = 60 Solving 204 + -6x = 60 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-204' to each side of the equation. 204 + -204 + -6x = 60 + -204 Combine like terms: 204 + -204 = 0 0 + -6x = 60 + -204 -6x = 60 + -204 Combine like terms: 60 + -204 = -144 -6x = -144 Divide each side by '-6'. x = 24 Simplifying x = 24
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