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Simplifying 7(5x + 2) = 12(2x + 3) Reorder the terms: 7(2 + 5x) = 12(2x + 3) (2 * 7 + 5x * 7) = 12(2x + 3) (14 + 35x) = 12(2x + 3) Reorder the terms: 14 + 35x = 12(3 + 2x) 14 + 35x = (3 * 12 + 2x * 12) 14 + 35x = (36 + 24x) Solving 14 + 35x = 36 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 14 + 35x + -24x = 36 + 24x + -24x Combine like terms: 35x + -24x = 11x 14 + 11x = 36 + 24x + -24x Combine like terms: 24x + -24x = 0 14 + 11x = 36 + 0 14 + 11x = 36 Add '-14' to each side of the equation. 14 + -14 + 11x = 36 + -14 Combine like terms: 14 + -14 = 0 0 + 11x = 36 + -14 11x = 36 + -14 Combine like terms: 36 + -14 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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