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Simplifying 10x + -5 = 45x + 2 Reorder the terms: -5 + 10x = 45x + 2 Reorder the terms: -5 + 10x = 2 + 45x Solving -5 + 10x = 2 + 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. -5 + 10x + -45x = 2 + 45x + -45x Combine like terms: 10x + -45x = -35x -5 + -35x = 2 + 45x + -45x Combine like terms: 45x + -45x = 0 -5 + -35x = 2 + 0 -5 + -35x = 2 Add '5' to each side of the equation. -5 + 5 + -35x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + -35x = 2 + 5 -35x = 2 + 5 Combine like terms: 2 + 5 = 7 -35x = 7 Divide each side by '-35'. x = -0.2 Simplifying x = -0.2
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