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Simplifying 14x + 27 = 6x + 259 Reorder the terms: 27 + 14x = 6x + 259 Reorder the terms: 27 + 14x = 259 + 6x Solving 27 + 14x = 259 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 27 + 14x + -6x = 259 + 6x + -6x Combine like terms: 14x + -6x = 8x 27 + 8x = 259 + 6x + -6x Combine like terms: 6x + -6x = 0 27 + 8x = 259 + 0 27 + 8x = 259 Add '-27' to each side of the equation. 27 + -27 + 8x = 259 + -27 Combine like terms: 27 + -27 = 0 0 + 8x = 259 + -27 8x = 259 + -27 Combine like terms: 259 + -27 = 232 8x = 232 Divide each side by '8'. x = 29 Simplifying x = 29
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