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Simplifying 2x + 1 = 5x + -2 + 38 Reorder the terms: 1 + 2x = 5x + -2 + 38 Reorder the terms: 1 + 2x = -2 + 38 + 5x Combine like terms: -2 + 38 = 36 1 + 2x = 36 + 5x Solving 1 + 2x = 36 + 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. 1 + 2x + -5x = 36 + 5x + -5x Combine like terms: 2x + -5x = -3x 1 + -3x = 36 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -3x = 36 + 0 1 + -3x = 36 Add '-1' to each side of the equation. 1 + -1 + -3x = 36 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 36 + -1 -3x = 36 + -1 Combine like terms: 36 + -1 = 35 -3x = 35 Divide each side by '-3'. x = -11.66666667 Simplifying x = -11.66666667
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