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Simplifying -45 + -10x = 8x + 17 Reorder the terms: -45 + -10x = 17 + 8x Solving -45 + -10x = 17 + 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 + -10x + -8x = 17 + 8x + -8x Combine like terms: -10x + -8x = -18x -45 + -18x = 17 + 8x + -8x Combine like terms: 8x + -8x = 0 -45 + -18x = 17 + 0 -45 + -18x = 17 Add '45' to each side of the equation. -45 + 45 + -18x = 17 + 45 Combine like terms: -45 + 45 = 0 0 + -18x = 17 + 45 -18x = 17 + 45 Combine like terms: 17 + 45 = 62 -18x = 62 Divide each side by '-18'. x = -3.444444444 Simplifying x = -3.444444444
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