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Simplifying 10x + -8 = 45x + 13 Reorder the terms: -8 + 10x = 45x + 13 Reorder the terms: -8 + 10x = 13 + 45x Solving -8 + 10x = 13 + 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 = 13 + 45x + -45x Combine like terms: 10x + -45x = -35x -8 + -35x = 13 + 45x + -45x Combine like terms: 45x + -45x = 0 -8 + -35x = 13 + 0 -8 + -35x = 13 Add '8' to each side of the equation. -8 + 8 + -35x = 13 + 8 Combine like terms: -8 + 8 = 0 0 + -35x = 13 + 8 -35x = 13 + 8 Combine like terms: 13 + 8 = 21 -35x = 21 Divide each side by '-35'. x = -0.6 Simplifying x = -0.6
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