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Simplifying 9(4x + 6) = 9(8x + 4) Reorder the terms: 9(6 + 4x) = 9(8x + 4) (6 * 9 + 4x * 9) = 9(8x + 4) (54 + 36x) = 9(8x + 4) Reorder the terms: 54 + 36x = 9(4 + 8x) 54 + 36x = (4 * 9 + 8x * 9) 54 + 36x = (36 + 72x) Solving 54 + 36x = 36 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. 54 + 36x + -72x = 36 + 72x + -72x Combine like terms: 36x + -72x = -36x 54 + -36x = 36 + 72x + -72x Combine like terms: 72x + -72x = 0 54 + -36x = 36 + 0 54 + -36x = 36 Add '-54' to each side of the equation. 54 + -54 + -36x = 36 + -54 Combine like terms: 54 + -54 = 0 0 + -36x = 36 + -54 -36x = 36 + -54 Combine like terms: 36 + -54 = -18 -36x = -18 Divide each side by '-36'. x = 0.5 Simplifying x = 0.5
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