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Simplifying 2x + 27 = 6x + 31 Reorder the terms: 27 + 2x = 6x + 31 Reorder the terms: 27 + 2x = 31 + 6x Solving 27 + 2x = 31 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 27 + 2x + -6x = 31 + 6x + -6x Combine like terms: 2x + -6x = -4x 27 + -4x = 31 + 6x + -6x Combine like terms: 6x + -6x = 0 27 + -4x = 31 + 0 27 + -4x = 31 Add '-27' to each side of the equation. 27 + -27 + -4x = 31 + -27 Combine like terms: 27 + -27 = 0 0 + -4x = 31 + -27 -4x = 31 + -27 Combine like terms: 31 + -27 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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