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Simplifying 5x + 27 = 8x + 6 Reorder the terms: 27 + 5x = 8x + 6 Reorder the terms: 27 + 5x = 6 + 8x Solving 27 + 5x = 6 + 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 + 5x + -8x = 6 + 8x + -8x Combine like terms: 5x + -8x = -3x 27 + -3x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 27 + -3x = 6 + 0 27 + -3x = 6 Add '-27' to each side of the equation. 27 + -27 + -3x = 6 + -27 Combine like terms: 27 + -27 = 0 0 + -3x = 6 + -27 -3x = 6 + -27 Combine like terms: 6 + -27 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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