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Simplifying 9(x + 3) + -1(8x + 2) = 2 Reorder the terms: 9(3 + x) + -1(8x + 2) = 2 (3 * 9 + x * 9) + -1(8x + 2) = 2 (27 + 9x) + -1(8x + 2) = 2 Reorder the terms: 27 + 9x + -1(2 + 8x) = 2 27 + 9x + (2 * -1 + 8x * -1) = 2 27 + 9x + (-2 + -8x) = 2 Reorder the terms: 27 + -2 + 9x + -8x = 2 Combine like terms: 27 + -2 = 25 25 + 9x + -8x = 2 Combine like terms: 9x + -8x = 1x 25 + 1x = 2 Solving 25 + 1x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 1x = 2 + -25 Combine like terms: 25 + -25 = 0 0 + 1x = 2 + -25 1x = 2 + -25 Combine like terms: 2 + -25 = -23 1x = -23 Divide each side by '1'. x = -23 Simplifying x = -23
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