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Simplifying -3X + -4(2 + -3X) = 3(X + -5) + -29 -3X + (2 * -4 + -3X * -4) = 3(X + -5) + -29 -3X + (-8 + 12X) = 3(X + -5) + -29 Reorder the terms: -8 + -3X + 12X = 3(X + -5) + -29 Combine like terms: -3X + 12X = 9X -8 + 9X = 3(X + -5) + -29 Reorder the terms: -8 + 9X = 3(-5 + X) + -29 -8 + 9X = (-5 * 3 + X * 3) + -29 -8 + 9X = (-15 + 3X) + -29 Reorder the terms: -8 + 9X = -15 + -29 + 3X Combine like terms: -15 + -29 = -44 -8 + 9X = -44 + 3X Solving -8 + 9X = -44 + 3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3X' to each side of the equation. -8 + 9X + -3X = -44 + 3X + -3X Combine like terms: 9X + -3X = 6X -8 + 6X = -44 + 3X + -3X Combine like terms: 3X + -3X = 0 -8 + 6X = -44 + 0 -8 + 6X = -44 Add '8' to each side of the equation. -8 + 8 + 6X = -44 + 8 Combine like terms: -8 + 8 = 0 0 + 6X = -44 + 8 6X = -44 + 8 Combine like terms: -44 + 8 = -36 6X = -36 Divide each side by '6'. X = -6 Simplifying X = -6
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