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Simplifying 4(x) + 14 = 5(x) + 22 Reorder the terms: 14 + 4x = 5(x) + 22 Reorder the terms: 14 + 4x = 22 + 5x Solving 14 + 4x = 22 + 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 + 4x + -5x = 22 + 5x + -5x Combine like terms: 4x + -5x = -1x 14 + -1x = 22 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + -1x = 22 + 0 14 + -1x = 22 Add '-14' to each side of the equation. 14 + -14 + -1x = 22 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 22 + -14 -1x = 22 + -14 Combine like terms: 22 + -14 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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