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Simplifying 17 + -1(x + -5) = 8x + -6 Reorder the terms: 17 + -1(-5 + x) = 8x + -6 17 + (-5 * -1 + x * -1) = 8x + -6 17 + (5 + -1x) = 8x + -6 Combine like terms: 17 + 5 = 22 22 + -1x = 8x + -6 Reorder the terms: 22 + -1x = -6 + 8x Solving 22 + -1x = -6 + 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. 22 + -1x + -8x = -6 + 8x + -8x Combine like terms: -1x + -8x = -9x 22 + -9x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 22 + -9x = -6 + 0 22 + -9x = -6 Add '-22' to each side of the equation. 22 + -22 + -9x = -6 + -22 Combine like terms: 22 + -22 = 0 0 + -9x = -6 + -22 -9x = -6 + -22 Combine like terms: -6 + -22 = -28 -9x = -28 Divide each side by '-9'. x = 3.111111111 Simplifying x = 3.111111111
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