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Simplifying 27 + 7x + -2 = 11x + 1 Reorder the terms: 27 + -2 + 7x = 11x + 1 Combine like terms: 27 + -2 = 25 25 + 7x = 11x + 1 Reorder the terms: 25 + 7x = 1 + 11x Solving 25 + 7x = 1 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 25 + 7x + -11x = 1 + 11x + -11x Combine like terms: 7x + -11x = -4x 25 + -4x = 1 + 11x + -11x Combine like terms: 11x + -11x = 0 25 + -4x = 1 + 0 25 + -4x = 1 Add '-25' to each side of the equation. 25 + -25 + -4x = 1 + -25 Combine like terms: 25 + -25 = 0 0 + -4x = 1 + -25 -4x = 1 + -25 Combine like terms: 1 + -25 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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