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Simplifying -4x + 2(6x + 3) = 46 Reorder the terms: -4x + 2(3 + 6x) = 46 -4x + (3 * 2 + 6x * 2) = 46 -4x + (6 + 12x) = 46 Reorder the terms: 6 + -4x + 12x = 46 Combine like terms: -4x + 12x = 8x 6 + 8x = 46 Solving 6 + 8x = 46 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 + 8x = 46 + -6 Combine like terms: 6 + -6 = 0 0 + 8x = 46 + -6 8x = 46 + -6 Combine like terms: 46 + -6 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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