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Simplifying 8(2x + -4) + -9(X + 2) = 2 + -5x Reorder the terms: 8(-4 + 2x) + -9(X + 2) = 2 + -5x (-4 * 8 + 2x * 8) + -9(X + 2) = 2 + -5x (-32 + 16x) + -9(X + 2) = 2 + -5x Reorder the terms: -32 + 16x + -9(2 + X) = 2 + -5x -32 + 16x + (2 * -9 + X * -9) = 2 + -5x -32 + 16x + (-18 + -9X) = 2 + -5x Reorder the terms: -32 + -18 + -9X + 16x = 2 + -5x Combine like terms: -32 + -18 = -50 -50 + -9X + 16x = 2 + -5x Solving -50 + -9X + 16x = 2 + -5x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '50' to each side of the equation. -50 + -9X + 50 + 16x = 2 + 50 + -5x Reorder the terms: -50 + 50 + -9X + 16x = 2 + 50 + -5x Combine like terms: -50 + 50 = 0 0 + -9X + 16x = 2 + 50 + -5x -9X + 16x = 2 + 50 + -5x Combine like terms: 2 + 50 = 52 -9X + 16x = 52 + -5x Add '-16x' to each side of the equation. -9X + 16x + -16x = 52 + -5x + -16x Combine like terms: 16x + -16x = 0 -9X + 0 = 52 + -5x + -16x -9X = 52 + -5x + -16x Combine like terms: -5x + -16x = -21x -9X = 52 + -21x Divide each side by '-9'. X = -5.777777778 + 2.333333333x Simplifying X = -5.777777778 + 2.333333333x
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