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Simplifying 6x + 27 = 14x + -16 Reorder the terms: 27 + 6x = 14x + -16 Reorder the terms: 27 + 6x = -16 + 14x Solving 27 + 6x = -16 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 27 + 6x + -14x = -16 + 14x + -14x Combine like terms: 6x + -14x = -8x 27 + -8x = -16 + 14x + -14x Combine like terms: 14x + -14x = 0 27 + -8x = -16 + 0 27 + -8x = -16 Add '-27' to each side of the equation. 27 + -27 + -8x = -16 + -27 Combine like terms: 27 + -27 = 0 0 + -8x = -16 + -27 -8x = -16 + -27 Combine like terms: -16 + -27 = -43 -8x = -43 Divide each side by '-8'. x = 5.375 Simplifying x = 5.375
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