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Simplifying -9(x + 5) = 6 + -8x Reorder the terms: -9(5 + x) = 6 + -8x (5 * -9 + x * -9) = 6 + -8x (-45 + -9x) = 6 + -8x Solving -45 + -9x = 6 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -45 + -9x + 8x = 6 + -8x + 8x Combine like terms: -9x + 8x = -1x -45 + -1x = 6 + -8x + 8x Combine like terms: -8x + 8x = 0 -45 + -1x = 6 + 0 -45 + -1x = 6 Add '45' to each side of the equation. -45 + 45 + -1x = 6 + 45 Combine like terms: -45 + 45 = 0 0 + -1x = 6 + 45 -1x = 6 + 45 Combine like terms: 6 + 45 = 51 -1x = 51 Divide each side by '-1'. x = -51 Simplifying x = -51
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