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Simplifying 4(3x + -5) + -2 = -2 + 12 Reorder the terms: 4(-5 + 3x) + -2 = -2 + 12 (-5 * 4 + 3x * 4) + -2 = -2 + 12 (-20 + 12x) + -2 = -2 + 12 Reorder the terms: -20 + -2 + 12x = -2 + 12 Combine like terms: -20 + -2 = -22 -22 + 12x = -2 + 12 Combine like terms: -2 + 12 = 10 -22 + 12x = 10 Solving -22 + 12x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 12x = 10 + 22 Combine like terms: -22 + 22 = 0 0 + 12x = 10 + 22 12x = 10 + 22 Combine like terms: 10 + 22 = 32 12x = 32 Divide each side by '12'. x = 2.666666667 Simplifying x = 2.666666667
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