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Simplifying 3(4 + 8x) = 7x(3 + 2) (4 * 3 + 8x * 3) = 7x(3 + 2) (12 + 24x) = 7x(3 + 2) Combine like terms: 3 + 2 = 5 12 + 24x = 7x(5) Reorder the terms for easier multiplication: 12 + 24x = 7 * 5x Multiply 7 * 5 12 + 24x = 35x Solving 12 + 24x = 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 + 24x + -35x = 35x + -35x Combine like terms: 24x + -35x = -11x 12 + -11x = 35x + -35x Combine like terms: 35x + -35x = 0 12 + -11x = 0 Add '-12' to each side of the equation. 12 + -12 + -11x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -11x = 0 + -12 -11x = 0 + -12 Combine like terms: 0 + -12 = -12 -11x = -12 Divide each side by '-11'. x = 1.090909091 Simplifying x = 1.090909091
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