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Simplifying 7x + 8 + -9(x + -1) = 3x + 2 Reorder the terms: 7x + 8 + -9(-1 + x) = 3x + 2 7x + 8 + (-1 * -9 + x * -9) = 3x + 2 7x + 8 + (9 + -9x) = 3x + 2 Reorder the terms: 8 + 9 + 7x + -9x = 3x + 2 Combine like terms: 8 + 9 = 17 17 + 7x + -9x = 3x + 2 Combine like terms: 7x + -9x = -2x 17 + -2x = 3x + 2 Reorder the terms: 17 + -2x = 2 + 3x Solving 17 + -2x = 2 + 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. 17 + -2x + -3x = 2 + 3x + -3x Combine like terms: -2x + -3x = -5x 17 + -5x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 17 + -5x = 2 + 0 17 + -5x = 2 Add '-17' to each side of the equation. 17 + -17 + -5x = 2 + -17 Combine like terms: 17 + -17 = 0 0 + -5x = 2 + -17 -5x = 2 + -17 Combine like terms: 2 + -17 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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