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Simplifying 2(3x + 2) = 3(x + 5) Reorder the terms: 2(2 + 3x) = 3(x + 5) (2 * 2 + 3x * 2) = 3(x + 5) (4 + 6x) = 3(x + 5) Reorder the terms: 4 + 6x = 3(5 + x) 4 + 6x = (5 * 3 + x * 3) 4 + 6x = (15 + 3x) Solving 4 + 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. 4 + 6x + -3x = 15 + 3x + -3x Combine like terms: 6x + -3x = 3x 4 + 3x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 3x = 15 + 0 4 + 3x = 15 Add '-4' to each side of the equation. 4 + -4 + 3x = 15 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 15 + -4 3x = 15 + -4 Combine like terms: 15 + -4 = 11 3x = 11 Divide each side by '3'. x = 3.666666667 Simplifying x = 3.666666667
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