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Simplifying 5(x + 4) = 9(2x + -9) Reorder the terms: 5(4 + x) = 9(2x + -9) (4 * 5 + x * 5) = 9(2x + -9) (20 + 5x) = 9(2x + -9) Reorder the terms: 20 + 5x = 9(-9 + 2x) 20 + 5x = (-9 * 9 + 2x * 9) 20 + 5x = (-81 + 18x) Solving 20 + 5x = -81 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 20 + 5x + -18x = -81 + 18x + -18x Combine like terms: 5x + -18x = -13x 20 + -13x = -81 + 18x + -18x Combine like terms: 18x + -18x = 0 20 + -13x = -81 + 0 20 + -13x = -81 Add '-20' to each side of the equation. 20 + -20 + -13x = -81 + -20 Combine like terms: 20 + -20 = 0 0 + -13x = -81 + -20 -13x = -81 + -20 Combine like terms: -81 + -20 = -101 -13x = -101 Divide each side by '-13'. x = 7.769230769 Simplifying x = 7.769230769
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