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Simplifying 4(x + 5) = 9(x + 9) Reorder the terms: 4(5 + x) = 9(x + 9) (5 * 4 + x * 4) = 9(x + 9) (20 + 4x) = 9(x + 9) Reorder the terms: 20 + 4x = 9(9 + x) 20 + 4x = (9 * 9 + x * 9) 20 + 4x = (81 + 9x) Solving 20 + 4x = 81 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 20 + 4x + -9x = 81 + 9x + -9x Combine like terms: 4x + -9x = -5x 20 + -5x = 81 + 9x + -9x Combine like terms: 9x + -9x = 0 20 + -5x = 81 + 0 20 + -5x = 81 Add '-20' to each side of the equation. 20 + -20 + -5x = 81 + -20 Combine like terms: 20 + -20 = 0 0 + -5x = 81 + -20 -5x = 81 + -20 Combine like terms: 81 + -20 = 61 -5x = 61 Divide each side by '-5'. x = -12.2 Simplifying x = -12.2
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