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Simplifying -14x + 2x + 38 = 11x + -6 Reorder the terms: 38 + -14x + 2x = 11x + -6 Combine like terms: -14x + 2x = -12x 38 + -12x = 11x + -6 Reorder the terms: 38 + -12x = -6 + 11x Solving 38 + -12x = -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 + -12x + -11x = -6 + 11x + -11x Combine like terms: -12x + -11x = -23x 38 + -23x = -6 + 11x + -11x Combine like terms: 11x + -11x = 0 38 + -23x = -6 + 0 38 + -23x = -6 Add '-38' to each side of the equation. 38 + -38 + -23x = -6 + -38 Combine like terms: 38 + -38 = 0 0 + -23x = -6 + -38 -23x = -6 + -38 Combine like terms: -6 + -38 = -44 -23x = -44 Divide each side by '-23'. x = 1.913043478 Simplifying x = 1.913043478
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