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Simplifying -2(x + 3) = 4x + 24 Reorder the terms: -2(3 + x) = 4x + 24 (3 * -2 + x * -2) = 4x + 24 (-6 + -2x) = 4x + 24 Reorder the terms: -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 = -6x -6 + -6x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -6x = 24 + 0 -6 + -6x = 24 Add '6' to each side of the equation. -6 + 6 + -6x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = 24 + 6 -6x = 24 + 6 Combine like terms: 24 + 6 = 30 -6x = 30 Divide each side by '-6'. x = -5 Simplifying x = -5
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