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Simplifying -6(x + 10) + 281 = 12 + 29 Reorder the terms: -6(10 + x) + 281 = 12 + 29 (10 * -6 + x * -6) + 281 = 12 + 29 (-60 + -6x) + 281 = 12 + 29 Reorder the terms: -60 + 281 + -6x = 12 + 29 Combine like terms: -60 + 281 = 221 221 + -6x = 12 + 29 Combine like terms: 12 + 29 = 41 221 + -6x = 41 Solving 221 + -6x = 41 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-221' to each side of the equation. 221 + -221 + -6x = 41 + -221 Combine like terms: 221 + -221 = 0 0 + -6x = 41 + -221 -6x = 41 + -221 Combine like terms: 41 + -221 = -180 -6x = -180 Divide each side by '-6'. x = 30 Simplifying x = 30
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