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Simplifying 5(7x + 6) = 6(9x + 6) Reorder the terms: 5(6 + 7x) = 6(9x + 6) (6 * 5 + 7x * 5) = 6(9x + 6) (30 + 35x) = 6(9x + 6) Reorder the terms: 30 + 35x = 6(6 + 9x) 30 + 35x = (6 * 6 + 9x * 6) 30 + 35x = (36 + 54x) Solving 30 + 35x = 36 + 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. 30 + 35x + -54x = 36 + 54x + -54x Combine like terms: 35x + -54x = -19x 30 + -19x = 36 + 54x + -54x Combine like terms: 54x + -54x = 0 30 + -19x = 36 + 0 30 + -19x = 36 Add '-30' to each side of the equation. 30 + -30 + -19x = 36 + -30 Combine like terms: 30 + -30 = 0 0 + -19x = 36 + -30 -19x = 36 + -30 Combine like terms: 36 + -30 = 6 -19x = 6 Divide each side by '-19'. x = -0.3157894737 Simplifying x = -0.3157894737
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