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Simplifying 8(2x + 3) = 9(4x + 6) Reorder the terms: 8(3 + 2x) = 9(4x + 6) (3 * 8 + 2x * 8) = 9(4x + 6) (24 + 16x) = 9(4x + 6) Reorder the terms: 24 + 16x = 9(6 + 4x) 24 + 16x = (6 * 9 + 4x * 9) 24 + 16x = (54 + 36x) Solving 24 + 16x = 54 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 24 + 16x + -36x = 54 + 36x + -36x Combine like terms: 16x + -36x = -20x 24 + -20x = 54 + 36x + -36x Combine like terms: 36x + -36x = 0 24 + -20x = 54 + 0 24 + -20x = 54 Add '-24' to each side of the equation. 24 + -24 + -20x = 54 + -24 Combine like terms: 24 + -24 = 0 0 + -20x = 54 + -24 -20x = 54 + -24 Combine like terms: 54 + -24 = 30 -20x = 30 Divide each side by '-20'. x = -1.5 Simplifying x = -1.5
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