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Simplifying -3(4 + -1X) + -4(X + -9) = X + 6 + -10 (4 * -3 + -1X * -3) + -4(X + -9) = X + 6 + -10 (-12 + 3X) + -4(X + -9) = X + 6 + -10 Reorder the terms: -12 + 3X + -4(-9 + X) = X + 6 + -10 -12 + 3X + (-9 * -4 + X * -4) = X + 6 + -10 -12 + 3X + (36 + -4X) = X + 6 + -10 Reorder the terms: -12 + 36 + 3X + -4X = X + 6 + -10 Combine like terms: -12 + 36 = 24 24 + 3X + -4X = X + 6 + -10 Combine like terms: 3X + -4X = -1X 24 + -1X = X + 6 + -10 Reorder the terms: 24 + -1X = 6 + -10 + X Combine like terms: 6 + -10 = -4 24 + -1X = -4 + X Solving 24 + -1X = -4 + X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1X' to each side of the equation. 24 + -1X + -1X = -4 + X + -1X Combine like terms: -1X + -1X = -2X 24 + -2X = -4 + X + -1X Combine like terms: X + -1X = 0 24 + -2X = -4 + 0 24 + -2X = -4 Add '-24' to each side of the equation. 24 + -24 + -2X = -4 + -24 Combine like terms: 24 + -24 = 0 0 + -2X = -4 + -24 -2X = -4 + -24 Combine like terms: -4 + -24 = -28 -2X = -28 Divide each side by '-2'. X = 14 Simplifying X = 14
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