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Simplifying 8 + -10x = 213 + -45x Solving 8 + -10x = 213 + -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. 8 + -10x + 45x = 213 + -45x + 45x Combine like terms: -10x + 45x = 35x 8 + 35x = 213 + -45x + 45x Combine like terms: -45x + 45x = 0 8 + 35x = 213 + 0 8 + 35x = 213 Add '-8' to each side of the equation. 8 + -8 + 35x = 213 + -8 Combine like terms: 8 + -8 = 0 0 + 35x = 213 + -8 35x = 213 + -8 Combine like terms: 213 + -8 = 205 35x = 205 Divide each side by '35'. x = 5.857142857 Simplifying x = 5.857142857
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