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Simplifying 27 + 8x = -7(2 + -7x) 27 + 8x = (2 * -7 + -7x * -7) 27 + 8x = (-14 + 49x) Solving 27 + 8x = -14 + 49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49x' to each side of the equation. 27 + 8x + -49x = -14 + 49x + -49x Combine like terms: 8x + -49x = -41x 27 + -41x = -14 + 49x + -49x Combine like terms: 49x + -49x = 0 27 + -41x = -14 + 0 27 + -41x = -14 Add '-27' to each side of the equation. 27 + -27 + -41x = -14 + -27 Combine like terms: 27 + -27 = 0 0 + -41x = -14 + -27 -41x = -14 + -27 Combine like terms: -14 + -27 = -41 -41x = -41 Divide each side by '-41'. x = 1 Simplifying x = 1
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