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Simplifying 38 + (-3x) = 50 + (-5x) Solving 38 + (-3x) = 50 + (-5x) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(5x)' to each side of the equation. 38 + (-3x) + (5x) = 50 + (-5x) + (5x) Combine like terms: (-3x) + (5x) = 2x 38 + 2x = 50 + (-5x) + (5x) Combine like terms: (-5x) + (5x) = 0 38 + 2x = 50 + 0 38 + 2x = 50 Add '-38' to each side of the equation. 38 + -38 + 2x = 50 + -38 Combine like terms: 38 + -38 = 0 0 + 2x = 50 + -38 2x = 50 + -38 Combine like terms: 50 + -38 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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