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Simplifying 5(x + -5) = -1(5 + -2x) Reorder the terms: 5(-5 + x) = -1(5 + -2x) (-5 * 5 + x * 5) = -1(5 + -2x) (-25 + 5x) = -1(5 + -2x) -25 + 5x = (5 * -1 + -2x * -1) -25 + 5x = (-5 + 2x) Solving -25 + 5x = -5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -25 + 5x + -2x = -5 + 2x + -2x Combine like terms: 5x + -2x = 3x -25 + 3x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 -25 + 3x = -5 + 0 -25 + 3x = -5 Add '25' to each side of the equation. -25 + 25 + 3x = -5 + 25 Combine like terms: -25 + 25 = 0 0 + 3x = -5 + 25 3x = -5 + 25 Combine like terms: -5 + 25 = 20 3x = 20 Divide each side by '3'. x = 6.666666667 Simplifying x = 6.666666667
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