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Simplifying -52 + 10x = 65 + x Solving -52 + 10x = 65 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -52 + 10x + -1x = 65 + x + -1x Combine like terms: 10x + -1x = 9x -52 + 9x = 65 + x + -1x Combine like terms: x + -1x = 0 -52 + 9x = 65 + 0 -52 + 9x = 65 Add '52' to each side of the equation. -52 + 52 + 9x = 65 + 52 Combine like terms: -52 + 52 = 0 0 + 9x = 65 + 52 9x = 65 + 52 Combine like terms: 65 + 52 = 117 9x = 117 Divide each side by '9'. x = 13 Simplifying x = 13
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