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Simplifying 34 + -1(x + 9) = 8x + -2 Reorder the terms: 34 + -1(9 + x) = 8x + -2 34 + (9 * -1 + x * -1) = 8x + -2 34 + (-9 + -1x) = 8x + -2 Combine like terms: 34 + -9 = 25 25 + -1x = 8x + -2 Reorder the terms: 25 + -1x = -2 + 8x Solving 25 + -1x = -2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 25 + -1x + -8x = -2 + 8x + -8x Combine like terms: -1x + -8x = -9x 25 + -9x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 25 + -9x = -2 + 0 25 + -9x = -2 Add '-25' to each side of the equation. 25 + -25 + -9x = -2 + -25 Combine like terms: 25 + -25 = 0 0 + -9x = -2 + -25 -9x = -2 + -25 Combine like terms: -2 + -25 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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