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Simplifying 4(3 + 9x) = 5(2 + 7x) (3 * 4 + 9x * 4) = 5(2 + 7x) (12 + 36x) = 5(2 + 7x) 12 + 36x = (2 * 5 + 7x * 5) 12 + 36x = (10 + 35x) Solving 12 + 36x = 10 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 12 + 36x + -35x = 10 + 35x + -35x Combine like terms: 36x + -35x = 1x 12 + 1x = 10 + 35x + -35x Combine like terms: 35x + -35x = 0 12 + 1x = 10 + 0 12 + 1x = 10 Add '-12' to each side of the equation. 12 + -12 + 1x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 10 + -12 1x = 10 + -12 Combine like terms: 10 + -12 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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