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Simplifying (x * 2) + 2(2x + -5) = 38 Reorder the terms for easier multiplication: (2x) + 2(2x + -5) = 38 Reorder the terms: (2x) + 2(-5 + 2x) = 38 (2x) + (-5 * 2 + 2x * 2) = 38 (2x) + (-10 + 4x) = 38 Reorder the terms: -10 + (2x) + 4x = 38 Combine like terms: (2x) + 4x = 6x -10 + 6x = 38 Solving -10 + 6x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 6x = 38 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = 38 + 10 6x = 38 + 10 Combine like terms: 38 + 10 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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