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Simplifying 6X + -3(5X + 12) = 4(1 + -1X) Reorder the terms: 6X + -3(12 + 5X) = 4(1 + -1X) 6X + (12 * -3 + 5X * -3) = 4(1 + -1X) 6X + (-36 + -15X) = 4(1 + -1X) Reorder the terms: -36 + 6X + -15X = 4(1 + -1X) Combine like terms: 6X + -15X = -9X -36 + -9X = 4(1 + -1X) -36 + -9X = (1 * 4 + -1X * 4) -36 + -9X = (4 + -4X) Solving -36 + -9X = 4 + -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. -36 + -9X + 4X = 4 + -4X + 4X Combine like terms: -9X + 4X = -5X -36 + -5X = 4 + -4X + 4X Combine like terms: -4X + 4X = 0 -36 + -5X = 4 + 0 -36 + -5X = 4 Add '36' to each side of the equation. -36 + 36 + -5X = 4 + 36 Combine like terms: -36 + 36 = 0 0 + -5X = 4 + 36 -5X = 4 + 36 Combine like terms: 4 + 36 = 40 -5X = 40 Divide each side by '-5'. X = -8 Simplifying X = -8
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