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Simplifying -41(x + -56) = -49 + -6x Reorder the terms: -41(-56 + x) = -49 + -6x (-56 * -41 + x * -41) = -49 + -6x (2296 + -41x) = -49 + -6x Solving 2296 + -41x = -49 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 2296 + -41x + 6x = -49 + -6x + 6x Combine like terms: -41x + 6x = -35x 2296 + -35x = -49 + -6x + 6x Combine like terms: -6x + 6x = 0 2296 + -35x = -49 + 0 2296 + -35x = -49 Add '-2296' to each side of the equation. 2296 + -2296 + -35x = -49 + -2296 Combine like terms: 2296 + -2296 = 0 0 + -35x = -49 + -2296 -35x = -49 + -2296 Combine like terms: -49 + -2296 = -2345 -35x = -2345 Divide each side by '-35'. x = 67 Simplifying x = 67
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