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Simplifying 11x + -1(2x + 7) + 27 = 5x Reorder the terms: 11x + -1(7 + 2x) + 27 = 5x 11x + (7 * -1 + 2x * -1) + 27 = 5x 11x + (-7 + -2x) + 27 = 5x Reorder the terms: -7 + 27 + 11x + -2x = 5x Combine like terms: -7 + 27 = 20 20 + 11x + -2x = 5x Combine like terms: 11x + -2x = 9x 20 + 9x = 5x Solving 20 + 9x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 20 + 9x + -5x = 5x + -5x Combine like terms: 9x + -5x = 4x 20 + 4x = 5x + -5x Combine like terms: 5x + -5x = 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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