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Simplifying -11x + 14 = 5x + 32 Reorder the terms: 14 + -11x = 5x + 32 Reorder the terms: 14 + -11x = 32 + 5x Solving 14 + -11x = 32 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 14 + -11x + -5x = 32 + 5x + -5x Combine like terms: -11x + -5x = -16x 14 + -16x = 32 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + -16x = 32 + 0 14 + -16x = 32 Add '-14' to each side of the equation. 14 + -14 + -16x = 32 + -14 Combine like terms: 14 + -14 = 0 0 + -16x = 32 + -14 -16x = 32 + -14 Combine like terms: 32 + -14 = 18 -16x = 18 Divide each side by '-16'. x = -1.125 Simplifying x = -1.125
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