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Simplifying 5x + -1(9x + 9) = 5x + -27 Reorder the terms: 5x + -1(9 + 9x) = 5x + -27 5x + (9 * -1 + 9x * -1) = 5x + -27 5x + (-9 + -9x) = 5x + -27 Reorder the terms: -9 + 5x + -9x = 5x + -27 Combine like terms: 5x + -9x = -4x -9 + -4x = 5x + -27 Reorder the terms: -9 + -4x = -27 + 5x Solving -9 + -4x = -27 + 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. -9 + -4x + -5x = -27 + 5x + -5x Combine like terms: -4x + -5x = -9x -9 + -9x = -27 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + -9x = -27 + 0 -9 + -9x = -27 Add '9' to each side of the equation. -9 + 9 + -9x = -27 + 9 Combine like terms: -9 + 9 = 0 0 + -9x = -27 + 9 -9x = -27 + 9 Combine like terms: -27 + 9 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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