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Simplifying -2x + 4 = -52 + 6x Reorder the terms: 4 + -2x = -52 + 6x Solving 4 + -2x = -52 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + -2x + -6x = -52 + 6x + -6x Combine like terms: -2x + -6x = -8x 4 + -8x = -52 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -8x = -52 + 0 4 + -8x = -52 Add '-4' to each side of the equation. 4 + -4 + -8x = -52 + -4 Combine like terms: 4 + -4 = 0 0 + -8x = -52 + -4 -8x = -52 + -4 Combine like terms: -52 + -4 = -56 -8x = -56 Divide each side by '-8'. x = 7 Simplifying x = 7
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