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Simplifying 8x + -17 = 6 + -1(x + 5) Reorder the terms: -17 + 8x = 6 + -1(x + 5) Reorder the terms: -17 + 8x = 6 + -1(5 + x) -17 + 8x = 6 + (5 * -1 + x * -1) -17 + 8x = 6 + (-5 + -1x) Combine like terms: 6 + -5 = 1 -17 + 8x = 1 + -1x Solving -17 + 8x = 1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -17 + 8x + x = 1 + -1x + x Combine like terms: 8x + x = 9x -17 + 9x = 1 + -1x + x Combine like terms: -1x + x = 0 -17 + 9x = 1 + 0 -17 + 9x = 1 Add '17' to each side of the equation. -17 + 17 + 9x = 1 + 17 Combine like terms: -17 + 17 = 0 0 + 9x = 1 + 17 9x = 1 + 17 Combine like terms: 1 + 17 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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