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Simplifying 9x + -52 + 2x = 2 + -5x + 10 Reorder the terms: -52 + 9x + 2x = 2 + -5x + 10 Combine like terms: 9x + 2x = 11x -52 + 11x = 2 + -5x + 10 Reorder the terms: -52 + 11x = 2 + 10 + -5x Combine like terms: 2 + 10 = 12 -52 + 11x = 12 + -5x Solving -52 + 11x = 12 + -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 + 11x + 5x = 12 + -5x + 5x Combine like terms: 11x + 5x = 16x -52 + 16x = 12 + -5x + 5x Combine like terms: -5x + 5x = 0 -52 + 16x = 12 + 0 -52 + 16x = 12 Add '52' to each side of the equation. -52 + 52 + 16x = 12 + 52 Combine like terms: -52 + 52 = 0 0 + 16x = 12 + 52 16x = 12 + 52 Combine like terms: 12 + 52 = 64 16x = 64 Divide each side by '16'. x = 4 Simplifying x = 4
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