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Simplifying -9(x + 2) = -5x + -12 + -4X + -6 Reorder the terms: -9(2 + x) = -5x + -12 + -4X + -6 (2 * -9 + x * -9) = -5x + -12 + -4X + -6 (-18 + -9x) = -5x + -12 + -4X + -6 Reorder the terms: -18 + -9x = -12 + -6 + -4X + -5x Combine like terms: -12 + -6 = -18 -18 + -9x = -18 + -4X + -5x Add '18' to each side of the equation. -18 + 18 + -9x = -18 + -4X + 18 + -5x Combine like terms: -18 + 18 = 0 0 + -9x = -18 + -4X + 18 + -5x -9x = -18 + -4X + 18 + -5x Reorder the terms: -9x = -18 + 18 + -4X + -5x Combine like terms: -18 + 18 = 0 -9x = 0 + -4X + -5x -9x = -4X + -5x Solving -9x = -4X + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -9x + 5x = -4X + -5x + 5x Combine like terms: -9x + 5x = -4x -4x = -4X + -5x + 5x Combine like terms: -5x + 5x = 0 -4x = -4X + 0 -4x = -4X Divide each side by '-4'. x = X Simplifying x = X
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