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Simplifying 12x + -2(4x + -9) = 46 Reorder the terms: 12x + -2(-9 + 4x) = 46 12x + (-9 * -2 + 4x * -2) = 46 12x + (18 + -8x) = 46 Reorder the terms: 18 + 12x + -8x = 46 Combine like terms: 12x + -8x = 4x 18 + 4x = 46 Solving 18 + 4x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 4x = 46 + -18 Combine like terms: 18 + -18 = 0 0 + 4x = 46 + -18 4x = 46 + -18 Combine like terms: 46 + -18 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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