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Simplifying 4(2 + 3x) = 3(2x + 5) (2 * 4 + 3x * 4) = 3(2x + 5) (8 + 12x) = 3(2x + 5) Reorder the terms: 8 + 12x = 3(5 + 2x) 8 + 12x = (5 * 3 + 2x * 3) 8 + 12x = (15 + 6x) Solving 8 + 12x = 15 + 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. 8 + 12x + -6x = 15 + 6x + -6x Combine like terms: 12x + -6x = 6x 8 + 6x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + 6x = 15 + 0 8 + 6x = 15 Add '-8' to each side of the equation. 8 + -8 + 6x = 15 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = 15 + -8 6x = 15 + -8 Combine like terms: 15 + -8 = 7 6x = 7 Divide each side by '6'. x = 1.166666667 Simplifying x = 1.166666667
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