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Simplifying -6(x + 10) + 289 = 24 + 25 Reorder the terms: -6(10 + x) + 289 = 24 + 25 (10 * -6 + x * -6) + 289 = 24 + 25 (-60 + -6x) + 289 = 24 + 25 Reorder the terms: -60 + 289 + -6x = 24 + 25 Combine like terms: -60 + 289 = 229 229 + -6x = 24 + 25 Combine like terms: 24 + 25 = 49 229 + -6x = 49 Solving 229 + -6x = 49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-229' to each side of the equation. 229 + -229 + -6x = 49 + -229 Combine like terms: 229 + -229 = 0 0 + -6x = 49 + -229 -6x = 49 + -229 Combine like terms: 49 + -229 = -180 -6x = -180 Divide each side by '-6'. x = 30 Simplifying x = 30
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