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Simplifying 5(3x + 2) = 3(2 + x) Reorder the terms: 5(2 + 3x) = 3(2 + x) (2 * 5 + 3x * 5) = 3(2 + x) (10 + 15x) = 3(2 + x) 10 + 15x = (2 * 3 + x * 3) 10 + 15x = (6 + 3x) Solving 10 + 15x = 6 + 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. 10 + 15x + -3x = 6 + 3x + -3x Combine like terms: 15x + -3x = 12x 10 + 12x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 12x = 6 + 0 10 + 12x = 6 Add '-10' to each side of the equation. 10 + -10 + 12x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 12x = 6 + -10 12x = 6 + -10 Combine like terms: 6 + -10 = -4 12x = -4 Divide each side by '12'. x = -0.3333333333 Simplifying x = -0.3333333333
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