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Simplifying 10x + -52 = 9x + -37 Reorder the terms: -52 + 10x = 9x + -37 Reorder the terms: -52 + 10x = -37 + 9x Solving -52 + 10x = -37 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -52 + 10x + -9x = -37 + 9x + -9x Combine like terms: 10x + -9x = 1x -52 + 1x = -37 + 9x + -9x Combine like terms: 9x + -9x = 0 -52 + 1x = -37 + 0 -52 + 1x = -37 Add '52' to each side of the equation. -52 + 52 + 1x = -37 + 52 Combine like terms: -52 + 52 = 0 0 + 1x = -37 + 52 1x = -37 + 52 Combine like terms: -37 + 52 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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