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Simplifying 11x + -1(5x + 7) + 27 = 2x Reorder the terms: 11x + -1(7 + 5x) + 27 = 2x 11x + (7 * -1 + 5x * -1) + 27 = 2x 11x + (-7 + -5x) + 27 = 2x Reorder the terms: -7 + 27 + 11x + -5x = 2x Combine like terms: -7 + 27 = 20 20 + 11x + -5x = 2x Combine like terms: 11x + -5x = 6x 20 + 6x = 2x Solving 20 + 6x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 20 + 6x + -2x = 2x + -2x Combine like terms: 6x + -2x = 4x 20 + 4x = 2x + -2x Combine like terms: 2x + -2x = 0 20 + 4x = 0 Add '-20' to each side of the equation. 20 + -20 + 4x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 4x = 0 + -20 4x = 0 + -20 Combine like terms: 0 + -20 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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