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Simplifying 6(4 + 9x) = 6 + 2(-5x + 9) (4 * 6 + 9x * 6) = 6 + 2(-5x + 9) (24 + 54x) = 6 + 2(-5x + 9) Reorder the terms: 24 + 54x = 6 + 2(9 + -5x) 24 + 54x = 6 + (9 * 2 + -5x * 2) 24 + 54x = 6 + (18 + -10x) Combine like terms: 6 + 18 = 24 24 + 54x = 24 + -10x Add '-24' to each side of the equation. 24 + -24 + 54x = 24 + -24 + -10x Combine like terms: 24 + -24 = 0 0 + 54x = 24 + -24 + -10x 54x = 24 + -24 + -10x Combine like terms: 24 + -24 = 0 54x = 0 + -10x 54x = -10x Solving 54x = -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 54x + 10x = -10x + 10x Combine like terms: 54x + 10x = 64x 64x = -10x + 10x Combine like terms: -10x + 10x = 0 64x = 0 Divide each side by '64'. x = 0 Simplifying x = 0
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