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Simplifying 6x + 27 = 8x + 7 Reorder the terms: 27 + 6x = 8x + 7 Reorder the terms: 27 + 6x = 7 + 8x Solving 27 + 6x = 7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 27 + 6x + -8x = 7 + 8x + -8x Combine like terms: 6x + -8x = -2x 27 + -2x = 7 + 8x + -8x Combine like terms: 8x + -8x = 0 27 + -2x = 7 + 0 27 + -2x = 7 Add '-27' to each side of the equation. 27 + -27 + -2x = 7 + -27 Combine like terms: 27 + -27 = 0 0 + -2x = 7 + -27 -2x = 7 + -27 Combine like terms: 7 + -27 = -20 -2x = -20 Divide each side by '-2'. x = 10 Simplifying x = 10
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