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Simplifying -2(x + 5) = -4(x + -5) Reorder the terms: -2(5 + x) = -4(x + -5) (5 * -2 + x * -2) = -4(x + -5) (-10 + -2x) = -4(x + -5) Reorder the terms: -10 + -2x = -4(-5 + x) -10 + -2x = (-5 * -4 + x * -4) -10 + -2x = (20 + -4x) Solving -10 + -2x = 20 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -10 + -2x + 4x = 20 + -4x + 4x Combine like terms: -2x + 4x = 2x -10 + 2x = 20 + -4x + 4x Combine like terms: -4x + 4x = 0 -10 + 2x = 20 + 0 -10 + 2x = 20 Add '10' to each side of the equation. -10 + 10 + 2x = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 20 + 10 2x = 20 + 10 Combine like terms: 20 + 10 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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