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Simplifying X + -8 = 27 + -13(X + 7) Reorder the terms: -8 + X = 27 + -13(X + 7) Reorder the terms: -8 + X = 27 + -13(7 + X) -8 + X = 27 + (7 * -13 + X * -13) -8 + X = 27 + (-91 + -13X) Combine like terms: 27 + -91 = -64 -8 + X = -64 + -13X Solving -8 + X = -64 + -13X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '13X' to each side of the equation. -8 + X + 13X = -64 + -13X + 13X Combine like terms: X + 13X = 14X -8 + 14X = -64 + -13X + 13X Combine like terms: -13X + 13X = 0 -8 + 14X = -64 + 0 -8 + 14X = -64 Add '8' to each side of the equation. -8 + 8 + 14X = -64 + 8 Combine like terms: -8 + 8 = 0 0 + 14X = -64 + 8 14X = -64 + 8 Combine like terms: -64 + 8 = -56 14X = -56 Divide each side by '14'. X = -4 Simplifying X = -4
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