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Simplifying 12 + 2(4x + -3) = 46 Reorder the terms: 12 + 2(-3 + 4x) = 46 12 + (-3 * 2 + 4x * 2) = 46 12 + (-6 + 8x) = 46 Combine like terms: 12 + -6 = 6 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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