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Simplifying 4X + -3(2 + -3X) = 4(X + -5) + -22 4X + (2 * -3 + -3X * -3) = 4(X + -5) + -22 4X + (-6 + 9X) = 4(X + -5) + -22 Reorder the terms: -6 + 4X + 9X = 4(X + -5) + -22 Combine like terms: 4X + 9X = 13X -6 + 13X = 4(X + -5) + -22 Reorder the terms: -6 + 13X = 4(-5 + X) + -22 -6 + 13X = (-5 * 4 + X * 4) + -22 -6 + 13X = (-20 + 4X) + -22 Reorder the terms: -6 + 13X = -20 + -22 + 4X Combine like terms: -20 + -22 = -42 -6 + 13X = -42 + 4X Solving -6 + 13X = -42 + 4X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4X' to each side of the equation. -6 + 13X + -4X = -42 + 4X + -4X Combine like terms: 13X + -4X = 9X -6 + 9X = -42 + 4X + -4X Combine like terms: 4X + -4X = 0 -6 + 9X = -42 + 0 -6 + 9X = -42 Add '6' to each side of the equation. -6 + 6 + 9X = -42 + 6 Combine like terms: -6 + 6 = 0 0 + 9X = -42 + 6 9X = -42 + 6 Combine like terms: -42 + 6 = -36 9X = -36 Divide each side by '9'. X = -4 Simplifying X = -4
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