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Simplifying 3(5x + 2) = 2(x + 2) Reorder the terms: 3(2 + 5x) = 2(x + 2) (2 * 3 + 5x * 3) = 2(x + 2) (6 + 15x) = 2(x + 2) Reorder the terms: 6 + 15x = 2(2 + x) 6 + 15x = (2 * 2 + x * 2) 6 + 15x = (4 + 2x) Solving 6 + 15x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + 15x + -2x = 4 + 2x + -2x Combine like terms: 15x + -2x = 13x 6 + 13x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 13x = 4 + 0 6 + 13x = 4 Add '-6' to each side of the equation. 6 + -6 + 13x = 4 + -6 Combine like terms: 6 + -6 = 0 0 + 13x = 4 + -6 13x = 4 + -6 Combine like terms: 4 + -6 = -2 13x = -2 Divide each side by '13'. x = -0.1538461538 Simplifying x = -0.1538461538
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