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Simplifying 3x + 38 = 2x + 50 Reorder the terms: 38 + 3x = 2x + 50 Reorder the terms: 38 + 3x = 50 + 2x Solving 38 + 3x = 50 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 38 + 3x + -2x = 50 + 2x + -2x Combine like terms: 3x + -2x = 1x 38 + 1x = 50 + 2x + -2x Combine like terms: 2x + -2x = 0 38 + 1x = 50 + 0 38 + 1x = 50 Add '-38' to each side of the equation. 38 + -38 + 1x = 50 + -38 Combine like terms: 38 + -38 = 0 0 + 1x = 50 + -38 1x = 50 + -38 Combine like terms: 50 + -38 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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