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Simplifying 2(3 + 4x) + -2 = 52 (3 * 2 + 4x * 2) + -2 = 52 (6 + 8x) + -2 = 52 Reorder the terms: 6 + -2 + 8x = 52 Combine like terms: 6 + -2 = 4 4 + 8x = 52 Solving 4 + 8x = 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 + 8x = 52 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = 52 + -4 8x = 52 + -4 Combine like terms: 52 + -4 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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