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Simplifying -6(x + 6) = 24 + 4x Reorder the terms: -6(6 + x) = 24 + 4x (6 * -6 + x * -6) = 24 + 4x (-36 + -6x) = 24 + 4x Solving -36 + -6x = 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. -36 + -6x + -4x = 24 + 4x + -4x Combine like terms: -6x + -4x = -10x -36 + -10x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 -36 + -10x = 24 + 0 -36 + -10x = 24 Add '36' to each side of the equation. -36 + 36 + -10x = 24 + 36 Combine like terms: -36 + 36 = 0 0 + -10x = 24 + 36 -10x = 24 + 36 Combine like terms: 24 + 36 = 60 -10x = 60 Divide each side by '-10'. x = -6 Simplifying x = -6
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