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Simplifying 4(3x + -3) + 2 = 46 Reorder the terms: 4(-3 + 3x) + 2 = 46 (-3 * 4 + 3x * 4) + 2 = 46 (-12 + 12x) + 2 = 46 Reorder the terms: -12 + 2 + 12x = 46 Combine like terms: -12 + 2 = -10 -10 + 12x = 46 Solving -10 + 12x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 12x = 46 + 10 Combine like terms: -10 + 10 = 0 0 + 12x = 46 + 10 12x = 46 + 10 Combine like terms: 46 + 10 = 56 12x = 56 Divide each side by '12'. x = 4.666666667 Simplifying x = 4.666666667
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