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Simplifying (2 + -2x) * 2 + -2x = 52 Reorder the terms for easier multiplication: 2(2 + -2x) + -2x = 52 (2 * 2 + -2x * 2) + -2x = 52 (4 + -4x) + -2x = 52 Combine like terms: -4x + -2x = -6x 4 + -6x = 52 Solving 4 + -6x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -6x = 52 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = 52 + -4 -6x = 52 + -4 Combine like terms: 52 + -4 = 48 -6x = 48 Divide each side by '-6'. x = -8 Simplifying x = -8
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