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Simplifying 2x + 38 = 11x + 52 Reorder the terms: 38 + 2x = 11x + 52 Reorder the terms: 38 + 2x = 52 + 11x Solving 38 + 2x = 52 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 38 + 2x + -11x = 52 + 11x + -11x Combine like terms: 2x + -11x = -9x 38 + -9x = 52 + 11x + -11x Combine like terms: 11x + -11x = 0 38 + -9x = 52 + 0 38 + -9x = 52 Add '-38' to each side of the equation. 38 + -38 + -9x = 52 + -38 Combine like terms: 38 + -38 = 0 0 + -9x = 52 + -38 -9x = 52 + -38 Combine like terms: 52 + -38 = 14 -9x = 14 Divide each side by '-9'. x = -1.555555556 Simplifying x = -1.555555556
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