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Simplifying -2x + 14 = 11x + -38 Reorder the terms: 14 + -2x = 11x + -38 Reorder the terms: 14 + -2x = -38 + 11x Solving 14 + -2x = -38 + 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. 14 + -2x + -11x = -38 + 11x + -11x Combine like terms: -2x + -11x = -13x 14 + -13x = -38 + 11x + -11x Combine like terms: 11x + -11x = 0 14 + -13x = -38 + 0 14 + -13x = -38 Add '-14' to each side of the equation. 14 + -14 + -13x = -38 + -14 Combine like terms: 14 + -14 = 0 0 + -13x = -38 + -14 -13x = -38 + -14 Combine like terms: -38 + -14 = -52 -13x = -52 Divide each side by '-13'. x = 4 Simplifying x = 4
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