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Simplifying 14x + 42 = 9x + 27 + -5 Reorder the terms: 42 + 14x = 9x + 27 + -5 Reorder the terms: 42 + 14x = 27 + -5 + 9x Combine like terms: 27 + -5 = 22 42 + 14x = 22 + 9x Solving 42 + 14x = 22 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 42 + 14x + -9x = 22 + 9x + -9x Combine like terms: 14x + -9x = 5x 42 + 5x = 22 + 9x + -9x Combine like terms: 9x + -9x = 0 42 + 5x = 22 + 0 42 + 5x = 22 Add '-42' to each side of the equation. 42 + -42 + 5x = 22 + -42 Combine like terms: 42 + -42 = 0 0 + 5x = 22 + -42 5x = 22 + -42 Combine like terms: 22 + -42 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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