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Simplifying -6(x + 4) + -41 = 5 + -40 Reorder the terms: -6(4 + x) + -41 = 5 + -40 (4 * -6 + x * -6) + -41 = 5 + -40 (-24 + -6x) + -41 = 5 + -40 Reorder the terms: -24 + -41 + -6x = 5 + -40 Combine like terms: -24 + -41 = -65 -65 + -6x = 5 + -40 Combine like terms: 5 + -40 = -35 -65 + -6x = -35 Solving -65 + -6x = -35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 65 + -6x = -35 + 65 Combine like terms: -65 + 65 = 0 0 + -6x = -35 + 65 -6x = -35 + 65 Combine like terms: -35 + 65 = 30 -6x = 30 Divide each side by '-6'. x = -5 Simplifying x = -5
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