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Simplifying 7x + -1(9x + 2) = 3x + -27 Reorder the terms: 7x + -1(2 + 9x) = 3x + -27 7x + (2 * -1 + 9x * -1) = 3x + -27 7x + (-2 + -9x) = 3x + -27 Reorder the terms: -2 + 7x + -9x = 3x + -27 Combine like terms: 7x + -9x = -2x -2 + -2x = 3x + -27 Reorder the terms: -2 + -2x = -27 + 3x Solving -2 + -2x = -27 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + -2x + -3x = -27 + 3x + -3x Combine like terms: -2x + -3x = -5x -2 + -5x = -27 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -5x = -27 + 0 -2 + -5x = -27 Add '2' to each side of the equation. -2 + 2 + -5x = -27 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = -27 + 2 -5x = -27 + 2 Combine like terms: -27 + 2 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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