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Simplifying 14x + 22 = 45 + -14x + 12 + 36x Reorder the terms: 22 + 14x = 45 + -14x + 12 + 36x Reorder the terms: 22 + 14x = 45 + 12 + -14x + 36x Combine like terms: 45 + 12 = 57 22 + 14x = 57 + -14x + 36x Combine like terms: -14x + 36x = 22x 22 + 14x = 57 + 22x Solving 22 + 14x = 57 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 22 + 14x + -22x = 57 + 22x + -22x Combine like terms: 14x + -22x = -8x 22 + -8x = 57 + 22x + -22x Combine like terms: 22x + -22x = 0 22 + -8x = 57 + 0 22 + -8x = 57 Add '-22' to each side of the equation. 22 + -22 + -8x = 57 + -22 Combine like terms: 22 + -22 = 0 0 + -8x = 57 + -22 -8x = 57 + -22 Combine like terms: 57 + -22 = 35 -8x = 35 Divide each side by '-8'. x = -4.375 Simplifying x = -4.375
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