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Simplifying 9x + -1(8x + -7) = 2x + -17 Reorder the terms: 9x + -1(-7 + 8x) = 2x + -17 9x + (-7 * -1 + 8x * -1) = 2x + -17 9x + (7 + -8x) = 2x + -17 Reorder the terms: 7 + 9x + -8x = 2x + -17 Combine like terms: 9x + -8x = 1x 7 + 1x = 2x + -17 Reorder the terms: 7 + 1x = -17 + 2x Solving 7 + 1x = -17 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + 1x + -2x = -17 + 2x + -2x Combine like terms: 1x + -2x = -1x 7 + -1x = -17 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + -1x = -17 + 0 7 + -1x = -17 Add '-7' to each side of the equation. 7 + -7 + -1x = -17 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = -17 + -7 -1x = -17 + -7 Combine like terms: -17 + -7 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24
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