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Simplifying 9x + -1(2x + 2) = 2x + -17 Reorder the terms: 9x + -1(2 + 2x) = 2x + -17 9x + (2 * -1 + 2x * -1) = 2x + -17 9x + (-2 + -2x) = 2x + -17 Reorder the terms: -2 + 9x + -2x = 2x + -17 Combine like terms: 9x + -2x = 7x -2 + 7x = 2x + -17 Reorder the terms: -2 + 7x = -17 + 2x Solving -2 + 7x = -17 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + 7x + -2x = -17 + 2x + -2x Combine like terms: 7x + -2x = 5x -2 + 5x = -17 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 5x = -17 + 0 -2 + 5x = -17 Add '2' to each side of the equation. -2 + 2 + 5x = -17 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = -17 + 2 5x = -17 + 2 Combine like terms: -17 + 2 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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