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Simplifying 9(2 + -4x) = 4(4 + -5x) (2 * 9 + -4x * 9) = 4(4 + -5x) (18 + -36x) = 4(4 + -5x) 18 + -36x = (4 * 4 + -5x * 4) 18 + -36x = (16 + -20x) Solving 18 + -36x = 16 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 18 + -36x + 20x = 16 + -20x + 20x Combine like terms: -36x + 20x = -16x 18 + -16x = 16 + -20x + 20x Combine like terms: -20x + 20x = 0 18 + -16x = 16 + 0 18 + -16x = 16 Add '-18' to each side of the equation. 18 + -18 + -16x = 16 + -18 Combine like terms: 18 + -18 = 0 0 + -16x = 16 + -18 -16x = 16 + -18 Combine like terms: 16 + -18 = -2 -16x = -2 Divide each side by '-16'. x = 0.125 Simplifying x = 0.125
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