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Simplifying -2(x + 3) = -4(x + -6) Reorder the terms: -2(3 + x) = -4(x + -6) (3 * -2 + x * -2) = -4(x + -6) (-6 + -2x) = -4(x + -6) Reorder the terms: -6 + -2x = -4(-6 + x) -6 + -2x = (-6 * -4 + x * -4) -6 + -2x = (24 + -4x) Solving -6 + -2x = 24 + -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. -6 + -2x + 4x = 24 + -4x + 4x Combine like terms: -2x + 4x = 2x -6 + 2x = 24 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 2x = 24 + 0 -6 + 2x = 24 Add '6' to each side of the equation. -6 + 6 + 2x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 24 + 6 2x = 24 + 6 Combine like terms: 24 + 6 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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