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Simplifying -5(x + 7) = -7x + -41 Reorder the terms: -5(7 + x) = -7x + -41 (7 * -5 + x * -5) = -7x + -41 (-35 + -5x) = -7x + -41 Reorder the terms: -35 + -5x = -41 + -7x Solving -35 + -5x = -41 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -35 + -5x + 7x = -41 + -7x + 7x Combine like terms: -5x + 7x = 2x -35 + 2x = -41 + -7x + 7x Combine like terms: -7x + 7x = 0 -35 + 2x = -41 + 0 -35 + 2x = -41 Add '35' to each side of the equation. -35 + 35 + 2x = -41 + 35 Combine like terms: -35 + 35 = 0 0 + 2x = -41 + 35 2x = -41 + 35 Combine like terms: -41 + 35 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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