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Simplifying 7x + -2 = x + 52 Reorder the terms: -2 + 7x = x + 52 Reorder the terms: -2 + 7x = 52 + x Solving -2 + 7x = 52 + 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. -2 + 7x + -1x = 52 + x + -1x Combine like terms: 7x + -1x = 6x -2 + 6x = 52 + x + -1x Combine like terms: x + -1x = 0 -2 + 6x = 52 + 0 -2 + 6x = 52 Add '2' to each side of the equation. -2 + 2 + 6x = 52 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = 52 + 2 6x = 52 + 2 Combine like terms: 52 + 2 = 54 6x = 54 Divide each side by '6'. x = 9 Simplifying x = 9
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