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Simplifying 6x + 27 = 5x + 7 Reorder the terms: 27 + 6x = 5x + 7 Reorder the terms: 27 + 6x = 7 + 5x Solving 27 + 6x = 7 + 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. 27 + 6x + -5x = 7 + 5x + -5x Combine like terms: 6x + -5x = 1x 27 + 1x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 27 + 1x = 7 + 0 27 + 1x = 7 Add '-27' to each side of the equation. 27 + -27 + 1x = 7 + -27 Combine like terms: 27 + -27 = 0 0 + 1x = 7 + -27 1x = 7 + -27 Combine like terms: 7 + -27 = -20 1x = -20 Divide each side by '1'. x = -20 Simplifying x = -20
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