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Simplifying 9(4x + 6) = 9(6x + 3) Reorder the terms: 9(6 + 4x) = 9(6x + 3) (6 * 9 + 4x * 9) = 9(6x + 3) (54 + 36x) = 9(6x + 3) Reorder the terms: 54 + 36x = 9(3 + 6x) 54 + 36x = (3 * 9 + 6x * 9) 54 + 36x = (27 + 54x) Solving 54 + 36x = 27 + 54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. 54 + 36x + -54x = 27 + 54x + -54x Combine like terms: 36x + -54x = -18x 54 + -18x = 27 + 54x + -54x Combine like terms: 54x + -54x = 0 54 + -18x = 27 + 0 54 + -18x = 27 Add '-54' to each side of the equation. 54 + -54 + -18x = 27 + -54 Combine like terms: 54 + -54 = 0 0 + -18x = 27 + -54 -18x = 27 + -54 Combine like terms: 27 + -54 = -27 -18x = -27 Divide each side by '-18'. x = 1.5 Simplifying x = 1.5
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