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Simplifying 10x + -7 = 45x + 21 Reorder the terms: -7 + 10x = 45x + 21 Reorder the terms: -7 + 10x = 21 + 45x Solving -7 + 10x = 21 + 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. -7 + 10x + -45x = 21 + 45x + -45x Combine like terms: 10x + -45x = -35x -7 + -35x = 21 + 45x + -45x Combine like terms: 45x + -45x = 0 -7 + -35x = 21 + 0 -7 + -35x = 21 Add '7' to each side of the equation. -7 + 7 + -35x = 21 + 7 Combine like terms: -7 + 7 = 0 0 + -35x = 21 + 7 -35x = 21 + 7 Combine like terms: 21 + 7 = 28 -35x = 28 Divide each side by '-35'. x = -0.8 Simplifying x = -0.8
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