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Simplifying 4(x + 5) = 9x Reorder the terms: 4(5 + x) = 9x (5 * 4 + x * 4) = 9x (20 + 4x) = 9x Solving 20 + 4x = 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 = 9x + -9x Combine like terms: 4x + -9x = -5x 20 + -5x = 9x + -9x Combine like terms: 9x + -9x = 0 20 + -5x = 0 Add '-20' to each side of the equation. 20 + -20 + -5x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -5x = 0 + -20 -5x = 0 + -20 Combine like terms: 0 + -20 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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