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Simplifying 2(3 + 2x) + 2(4x + -5) = 38 (3 * 2 + 2x * 2) + 2(4x + -5) = 38 (6 + 4x) + 2(4x + -5) = 38 Reorder the terms: 6 + 4x + 2(-5 + 4x) = 38 6 + 4x + (-5 * 2 + 4x * 2) = 38 6 + 4x + (-10 + 8x) = 38 Reorder the terms: 6 + -10 + 4x + 8x = 38 Combine like terms: 6 + -10 = -4 -4 + 4x + 8x = 38 Combine like terms: 4x + 8x = 12x -4 + 12x = 38 Solving -4 + 12x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 12x = 38 + 4 Combine like terms: -4 + 4 = 0 0 + 12x = 38 + 4 12x = 38 + 4 Combine like terms: 38 + 4 = 42 12x = 42 Divide each side by '12'. x = 3.5 Simplifying x = 3.5
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