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Simplifying 2(4x + 2) + -6 = 46 Reorder the terms: 2(2 + 4x) + -6 = 46 (2 * 2 + 4x * 2) + -6 = 46 (4 + 8x) + -6 = 46 Reorder the terms: 4 + -6 + 8x = 46 Combine like terms: 4 + -6 = -2 -2 + 8x = 46 Solving -2 + 8x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 8x = 46 + 2 Combine like terms: -2 + 2 = 0 0 + 8x = 46 + 2 8x = 46 + 2 Combine like terms: 46 + 2 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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