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Simplifying 4(3X + -5) + -2 = 4(4 + -2) + 42 Reorder the terms: 4(-5 + 3X) + -2 = 4(4 + -2) + 42 (-5 * 4 + 3X * 4) + -2 = 4(4 + -2) + 42 (-20 + 12X) + -2 = 4(4 + -2) + 42 Reorder the terms: -20 + -2 + 12X = 4(4 + -2) + 42 Combine like terms: -20 + -2 = -22 -22 + 12X = 4(4 + -2) + 42 Combine like terms: 4 + -2 = 2 -22 + 12X = 4(2) + 42 Multiply 4 * 2 -22 + 12X = 8 + 42 Combine like terms: 8 + 42 = 50 -22 + 12X = 50 Solving -22 + 12X = 50 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 = 50 + 22 Combine like terms: -22 + 22 = 0 0 + 12X = 50 + 22 12X = 50 + 22 Combine like terms: 50 + 22 = 72 12X = 72 Divide each side by '12'. X = 6 Simplifying X = 6
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