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Simplifying 10x + -6 = 45x + 22 Reorder the terms: -6 + 10x = 45x + 22 Reorder the terms: -6 + 10x = 22 + 45x Solving -6 + 10x = 22 + 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. -6 + 10x + -45x = 22 + 45x + -45x Combine like terms: 10x + -45x = -35x -6 + -35x = 22 + 45x + -45x Combine like terms: 45x + -45x = 0 -6 + -35x = 22 + 0 -6 + -35x = 22 Add '6' to each side of the equation. -6 + 6 + -35x = 22 + 6 Combine like terms: -6 + 6 = 0 0 + -35x = 22 + 6 -35x = 22 + 6 Combine like terms: 22 + 6 = 28 -35x = 28 Divide each side by '-35'. x = -0.8 Simplifying x = -0.8
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