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