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Simplifying 38 = 6x + 5x + -6 Reorder the terms: 38 = -6 + 6x + 5x Combine like terms: 6x + 5x = 11x 38 = -6 + 11x Solving 38 = -6 + 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 = -6 + 11x + -11x Combine like terms: 11x + -11x = 0 38 + -11x = -6 + 0 38 + -11x = -6 Add '-38' to each side of the equation. 38 + -38 + -11x = -6 + -38 Combine like terms: 38 + -38 = 0 0 + -11x = -6 + -38 -11x = -6 + -38 Combine like terms: -6 + -38 = -44 -11x = -44 Divide each side by '-11'. x = 4 Simplifying x = 4
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