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Simplifying -6(x + 5) + -41 = 3 + -32 Reorder the terms: -6(5 + x) + -41 = 3 + -32 (5 * -6 + x * -6) + -41 = 3 + -32 (-30 + -6x) + -41 = 3 + -32 Reorder the terms: -30 + -41 + -6x = 3 + -32 Combine like terms: -30 + -41 = -71 -71 + -6x = 3 + -32 Combine like terms: 3 + -32 = -29 -71 + -6x = -29 Solving -71 + -6x = -29 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 = -29 + 71 Combine like terms: -71 + 71 = 0 0 + -6x = -29 + 71 -6x = -29 + 71 Combine like terms: -29 + 71 = 42 -6x = 42 Divide each side by '-6'. x = -7 Simplifying x = -7
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