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Simplifying -5x + 2 = 4x + -52 Reorder the terms: 2 + -5x = 4x + -52 Reorder the terms: 2 + -5x = -52 + 4x Solving 2 + -5x = -52 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + -5x + -4x = -52 + 4x + -4x Combine like terms: -5x + -4x = -9x 2 + -9x = -52 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -9x = -52 + 0 2 + -9x = -52 Add '-2' to each side of the equation. 2 + -2 + -9x = -52 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = -52 + -2 -9x = -52 + -2 Combine like terms: -52 + -2 = -54 -9x = -54 Divide each side by '-9'. x = 6 Simplifying x = 6
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