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Simplifying 7x + 3(5x + -2) = 38 Reorder the terms: 7x + 3(-2 + 5x) = 38 7x + (-2 * 3 + 5x * 3) = 38 7x + (-6 + 15x) = 38 Reorder the terms: -6 + 7x + 15x = 38 Combine like terms: 7x + 15x = 22x -6 + 22x = 38 Solving -6 + 22x = 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 + 22x = 38 + 6 Combine like terms: -6 + 6 = 0 0 + 22x = 38 + 6 22x = 38 + 6 Combine like terms: 38 + 6 = 44 22x = 44 Divide each side by '22'. x = 2 Simplifying x = 2
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