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Simplifying -5(x + 6) + -41 = 1 + -32 Reorder the terms: -5(6 + x) + -41 = 1 + -32 (6 * -5 + x * -5) + -41 = 1 + -32 (-30 + -5x) + -41 = 1 + -32 Reorder the terms: -30 + -41 + -5x = 1 + -32 Combine like terms: -30 + -41 = -71 -71 + -5x = 1 + -32 Combine like terms: 1 + -32 = -31 -71 + -5x = -31 Solving -71 + -5x = -31 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 + -5x = -31 + 71 Combine like terms: -71 + 71 = 0 0 + -5x = -31 + 71 -5x = -31 + 71 Combine like terms: -31 + 71 = 40 -5x = 40 Divide each side by '-5'. x = -8 Simplifying x = -8
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