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Simplifying 7x + -52 = 5x + -10 Reorder the terms: -52 + 7x = 5x + -10 Reorder the terms: -52 + 7x = -10 + 5x Solving -52 + 7x = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -52 + 7x + -5x = -10 + 5x + -5x Combine like terms: 7x + -5x = 2x -52 + 2x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -52 + 2x = -10 + 0 -52 + 2x = -10 Add '52' to each side of the equation. -52 + 52 + 2x = -10 + 52 Combine like terms: -52 + 52 = 0 0 + 2x = -10 + 52 2x = -10 + 52 Combine like terms: -10 + 52 = 42 2x = 42 Divide each side by '2'. x = 21 Simplifying x = 21
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