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Simplifying -1x + -45 = 90 + 8x Reorder the terms: -45 + -1x = 90 + 8x Solving -45 + -1x = 90 + 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 + -1x + -8x = 90 + 8x + -8x Combine like terms: -1x + -8x = -9x -45 + -9x = 90 + 8x + -8x Combine like terms: 8x + -8x = 0 -45 + -9x = 90 + 0 -45 + -9x = 90 Add '45' to each side of the equation. -45 + 45 + -9x = 90 + 45 Combine like terms: -45 + 45 = 0 0 + -9x = 90 + 45 -9x = 90 + 45 Combine like terms: 90 + 45 = 135 -9x = 135 Divide each side by '-9'. x = -15 Simplifying x = -15
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