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Simplifying -8(x + 3) + 32 = 17 + -9x Reorder the terms: -8(3 + x) + 32 = 17 + -9x (3 * -8 + x * -8) + 32 = 17 + -9x (-24 + -8x) + 32 = 17 + -9x Reorder the terms: -24 + 32 + -8x = 17 + -9x Combine like terms: -24 + 32 = 8 8 + -8x = 17 + -9x Solving 8 + -8x = 17 + -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. 8 + -8x + 9x = 17 + -9x + 9x Combine like terms: -8x + 9x = 1x 8 + 1x = 17 + -9x + 9x Combine like terms: -9x + 9x = 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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