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Simplifying 5x + -41 = -6(w + -6) Reorder the terms: -41 + 5x = -6(w + -6) Reorder the terms: -41 + 5x = -6(-6 + w) -41 + 5x = (-6 * -6 + w * -6) -41 + 5x = (36 + -6w) Solving -41 + 5x = 36 + -6w Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 5x = 36 + 41 + -6w Combine like terms: -41 + 41 = 0 0 + 5x = 36 + 41 + -6w 5x = 36 + 41 + -6w Combine like terms: 36 + 41 = 77 5x = 77 + -6w Divide each side by '5'. x = 15.4 + -1.2w Simplifying x = 15.4 + -1.2w
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