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Simplifying -39 + 8x = -8(x + 7) + -1x Reorder the terms: -39 + 8x = -8(7 + x) + -1x -39 + 8x = (7 * -8 + x * -8) + -1x -39 + 8x = (-56 + -8x) + -1x Combine like terms: -8x + -1x = -9x -39 + 8x = -56 + -9x Solving -39 + 8x = -56 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -39 + 8x + 9x = -56 + -9x + 9x Combine like terms: 8x + 9x = 17x -39 + 17x = -56 + -9x + 9x Combine like terms: -9x + 9x = 0 -39 + 17x = -56 + 0 -39 + 17x = -56 Add '39' to each side of the equation. -39 + 39 + 17x = -56 + 39 Combine like terms: -39 + 39 = 0 0 + 17x = -56 + 39 17x = -56 + 39 Combine like terms: -56 + 39 = -17 17x = -17 Divide each side by '17'. x = -1 Simplifying x = -1
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