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Simplifying -1x + -41 = 4(5x + -5) Reorder the terms: -41 + -1x = 4(5x + -5) Reorder the terms: -41 + -1x = 4(-5 + 5x) -41 + -1x = (-5 * 4 + 5x * 4) -41 + -1x = (-20 + 20x) Solving -41 + -1x = -20 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -41 + -1x + -20x = -20 + 20x + -20x Combine like terms: -1x + -20x = -21x -41 + -21x = -20 + 20x + -20x Combine like terms: 20x + -20x = 0 -41 + -21x = -20 + 0 -41 + -21x = -20 Add '41' to each side of the equation. -41 + 41 + -21x = -20 + 41 Combine like terms: -41 + 41 = 0 0 + -21x = -20 + 41 -21x = -20 + 41 Combine like terms: -20 + 41 = 21 -21x = 21 Divide each side by '-21'. x = -1 Simplifying x = -1
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