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Simplifying 3(5x + 2) + -7x = 38 Reorder the terms: 3(2 + 5x) + -7x = 38 (2 * 3 + 5x * 3) + -7x = 38 (6 + 15x) + -7x = 38 Combine like terms: 15x + -7x = 8x 6 + 8x = 38 Solving 6 + 8x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 8x = 38 + -6 Combine like terms: 6 + -6 = 0 0 + 8x = 38 + -6 8x = 38 + -6 Combine like terms: 38 + -6 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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