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Simplifying 6(6x + 4) = 3(2x + 40) Reorder the terms: 6(4 + 6x) = 3(2x + 40) (4 * 6 + 6x * 6) = 3(2x + 40) (24 + 36x) = 3(2x + 40) Reorder the terms: 24 + 36x = 3(40 + 2x) 24 + 36x = (40 * 3 + 2x * 3) 24 + 36x = (120 + 6x) Solving 24 + 36x = 120 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 24 + 36x + -6x = 120 + 6x + -6x Combine like terms: 36x + -6x = 30x 24 + 30x = 120 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + 30x = 120 + 0 24 + 30x = 120 Add '-24' to each side of the equation. 24 + -24 + 30x = 120 + -24 Combine like terms: 24 + -24 = 0 0 + 30x = 120 + -24 30x = 120 + -24 Combine like terms: 120 + -24 = 96 30x = 96 Divide each side by '30'. x = 3.2 Simplifying x = 3.2
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