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Simplifying 4x + 4(2x + 2) + -2 = 52 Reorder the terms: 4x + 4(2 + 2x) + -2 = 52 4x + (2 * 4 + 2x * 4) + -2 = 52 4x + (8 + 8x) + -2 = 52 Reorder the terms: 8 + -2 + 4x + 8x = 52 Combine like terms: 8 + -2 = 6 6 + 4x + 8x = 52 Combine like terms: 4x + 8x = 12x 6 + 12x = 52 Solving 6 + 12x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 12x = 52 + -6 Combine like terms: 6 + -6 = 0 0 + 12x = 52 + -6 12x = 52 + -6 Combine like terms: 52 + -6 = 46 12x = 46 Divide each side by '12'. x = 3.833333333 Simplifying x = 3.833333333
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