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Simplifying 2 + 1x = -5x + 38 Reorder the terms: 2 + 1x = 38 + -5x Solving 2 + 1x = 38 + -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. 2 + 1x + 5x = 38 + -5x + 5x Combine like terms: 1x + 5x = 6x 2 + 6x = 38 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + 6x = 38 + 0 2 + 6x = 38 Add '-2' to each side of the equation. 2 + -2 + 6x = 38 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 38 + -2 6x = 38 + -2 Combine like terms: 38 + -2 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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