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