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Simplifying 9x + -1(5x + 7) = 8x + -27 Reorder the terms: 9x + -1(7 + 5x) = 8x + -27 9x + (7 * -1 + 5x * -1) = 8x + -27 9x + (-7 + -5x) = 8x + -27 Reorder the terms: -7 + 9x + -5x = 8x + -27 Combine like terms: 9x + -5x = 4x -7 + 4x = 8x + -27 Reorder the terms: -7 + 4x = -27 + 8x Solving -7 + 4x = -27 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -7 + 4x + -8x = -27 + 8x + -8x Combine like terms: 4x + -8x = -4x -7 + -4x = -27 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + -4x = -27 + 0 -7 + -4x = -27 Add '7' to each side of the equation. -7 + 7 + -4x = -27 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = -27 + 7 -4x = -27 + 7 Combine like terms: -27 + 7 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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