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Simplifying -2x + 2 + -5(-5x + 4) = -41 Reorder the terms: -2x + 2 + -5(4 + -5x) = -41 -2x + 2 + (4 * -5 + -5x * -5) = -41 -2x + 2 + (-20 + 25x) = -41 Reorder the terms: 2 + -20 + -2x + 25x = -41 Combine like terms: 2 + -20 = -18 -18 + -2x + 25x = -41 Combine like terms: -2x + 25x = 23x -18 + 23x = -41 Solving -18 + 23x = -41 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 23x = -41 + 18 Combine like terms: -18 + 18 = 0 0 + 23x = -41 + 18 23x = -41 + 18 Combine like terms: -41 + 18 = -23 23x = -23 Divide each side by '23'. x = -1 Simplifying x = -1
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