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Simplifying -6(x + 7) + 469 = 18 + 31 Reorder the terms: -6(7 + x) + 469 = 18 + 31 (7 * -6 + x * -6) + 469 = 18 + 31 (-42 + -6x) + 469 = 18 + 31 Reorder the terms: -42 + 469 + -6x = 18 + 31 Combine like terms: -42 + 469 = 427 427 + -6x = 18 + 31 Combine like terms: 18 + 31 = 49 427 + -6x = 49 Solving 427 + -6x = 49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-427' to each side of the equation. 427 + -427 + -6x = 49 + -427 Combine like terms: 427 + -427 = 0 0 + -6x = 49 + -427 -6x = 49 + -427 Combine like terms: 49 + -427 = -378 -6x = -378 Divide each side by '-6'. x = 63 Simplifying x = 63
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