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Simplifying 2(3x + 4) = 3(x + 5) Reorder the terms: 2(4 + 3x) = 3(x + 5) (4 * 2 + 3x * 2) = 3(x + 5) (8 + 6x) = 3(x + 5) Reorder the terms: 8 + 6x = 3(5 + x) 8 + 6x = (5 * 3 + x * 3) 8 + 6x = (15 + 3x) Solving 8 + 6x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8 + 6x + -3x = 15 + 3x + -3x Combine like terms: 6x + -3x = 3x 8 + 3x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 3x = 15 + 0 8 + 3x = 15 Add '-8' to each side of the equation. 8 + -8 + 3x = 15 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 15 + -8 3x = 15 + -8 Combine like terms: 15 + -8 = 7 3x = 7 Divide each side by '3'. x = 2.333333333 Simplifying x = 2.333333333
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