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Simplifying 4(x + 9) = 9(x + 4) Reorder the terms: 4(9 + x) = 9(x + 4) (9 * 4 + x * 4) = 9(x + 4) (36 + 4x) = 9(x + 4) Reorder the terms: 36 + 4x = 9(4 + x) 36 + 4x = (4 * 9 + x * 9) 36 + 4x = (36 + 9x) Add '-36' to each side of the equation. 36 + -36 + 4x = 36 + -36 + 9x Combine like terms: 36 + -36 = 0 0 + 4x = 36 + -36 + 9x 4x = 36 + -36 + 9x Combine like terms: 36 + -36 = 0 4x = 0 + 9x 4x = 9x Solving 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. 4x + -9x = 9x + -9x Combine like terms: 4x + -9x = -5x -5x = 9x + -9x Combine like terms: 9x + -9x = 0 -5x = 0 Divide each side by '-5'. x = 0 Simplifying x = 0
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