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Simplifying -5x + 2 = x + -52 Reorder the terms: 2 + -5x = x + -52 Reorder the terms: 2 + -5x = -52 + x Solving 2 + -5x = -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 + -5x + -1x = -52 + x + -1x Combine like terms: -5x + -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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