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Simplifying 38 = 5x + 6x + 5 Reorder the terms: 38 = 5 + 5x + 6x Combine like terms: 5x + 6x = 11x 38 = 5 + 11x Solving 38 = 5 + 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 + -11x = 5 + 11x + -11x Combine like terms: 11x + -11x = 0 38 + -11x = 5 + 0 38 + -11x = 5 Add '-38' to each side of the equation. 38 + -38 + -11x = 5 + -38 Combine like terms: 38 + -38 = 0 0 + -11x = 5 + -38 -11x = 5 + -38 Combine like terms: 5 + -38 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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