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Simplifying -6(x + 5) + -41 = 4 + -21 Reorder the terms: -6(5 + x) + -41 = 4 + -21 (5 * -6 + x * -6) + -41 = 4 + -21 (-30 + -6x) + -41 = 4 + -21 Reorder the terms: -30 + -41 + -6x = 4 + -21 Combine like terms: -30 + -41 = -71 -71 + -6x = 4 + -21 Combine like terms: 4 + -21 = -17 -71 + -6x = -17 Solving -71 + -6x = -17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '71' to each side of the equation. -71 + 71 + -6x = -17 + 71 Combine like terms: -71 + 71 = 0 0 + -6x = -17 + 71 -6x = -17 + 71 Combine like terms: -17 + 71 = 54 -6x = 54 Divide each side by '-6'. x = -9 Simplifying x = -9
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