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Simplifying 2(xy + 9) + -4x = x(5 + 2y) Reorder the terms: 2(9 + xy) + -4x = x(5 + 2y) (9 * 2 + xy * 2) + -4x = x(5 + 2y) (18 + 2xy) + -4x = x(5 + 2y) Reorder the terms: 18 + -4x + 2xy = x(5 + 2y) 18 + -4x + 2xy = (5 * x + 2y * x) 18 + -4x + 2xy = (5x + 2xy) Add '-2xy' to each side of the equation. 18 + -4x + 2xy + -2xy = 5x + 2xy + -2xy Combine like terms: 2xy + -2xy = 0 18 + -4x + 0 = 5x + 2xy + -2xy 18 + -4x = 5x + 2xy + -2xy Combine like terms: 2xy + -2xy = 0 18 + -4x = 5x + 0 18 + -4x = 5x Solving 18 + -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. 18 + -4x + -5x = 5x + -5x Combine like terms: -4x + -5x = -9x 18 + -9x = 5x + -5x Combine like terms: 5x + -5x = 0 18 + -9x = 0 Add '-18' to each side of the equation. 18 + -18 + -9x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -9x = 0 + -18 -9x = 0 + -18 Combine like terms: 0 + -18 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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