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Simplifying 3(5x + 2) = 8x + 2 Reorder the terms: 3(2 + 5x) = 8x + 2 (2 * 3 + 5x * 3) = 8x + 2 (6 + 15x) = 8x + 2 Reorder the terms: 6 + 15x = 2 + 8x Solving 6 + 15x = 2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 6 + 15x + -8x = 2 + 8x + -8x Combine like terms: 15x + -8x = 7x 6 + 7x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + 7x = 2 + 0 6 + 7x = 2 Add '-6' to each side of the equation. 6 + -6 + 7x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 2 + -6 7x = 2 + -6 Combine like terms: 2 + -6 = -4 7x = -4 Divide each side by '7'. x = -0.5714285714 Simplifying x = -0.5714285714
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