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Simplifying 6x + 27 = 7x + 2 Reorder the terms: 27 + 6x = 7x + 2 Reorder the terms: 27 + 6x = 2 + 7x Solving 27 + 6x = 2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 27 + 6x + -7x = 2 + 7x + -7x Combine like terms: 6x + -7x = -1x 27 + -1x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 27 + -1x = 2 + 0 27 + -1x = 2 Add '-27' to each side of the equation. 27 + -27 + -1x = 2 + -27 Combine like terms: 27 + -27 = 0 0 + -1x = 2 + -27 -1x = 2 + -27 Combine like terms: 2 + -27 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25
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