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Simplifying 7x + 27 = 11x + -5 Reorder the terms: 27 + 7x = 11x + -5 Reorder the terms: 27 + 7x = -5 + 11x Solving 27 + 7x = -5 + 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. 27 + 7x + -11x = -5 + 11x + -11x Combine like terms: 7x + -11x = -4x 27 + -4x = -5 + 11x + -11x Combine like terms: 11x + -11x = 0 27 + -4x = -5 + 0 27 + -4x = -5 Add '-27' to each side of the equation. 27 + -27 + -4x = -5 + -27 Combine like terms: 27 + -27 = 0 0 + -4x = -5 + -27 -4x = -5 + -27 Combine like terms: -5 + -27 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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