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Simplifying 6(1 + -6X) + -4(3X + 6) = 30 (1 * 6 + -6X * 6) + -4(3X + 6) = 30 (6 + -36X) + -4(3X + 6) = 30 Reorder the terms: 6 + -36X + -4(6 + 3X) = 30 6 + -36X + (6 * -4 + 3X * -4) = 30 6 + -36X + (-24 + -12X) = 30 Reorder the terms: 6 + -24 + -36X + -12X = 30 Combine like terms: 6 + -24 = -18 -18 + -36X + -12X = 30 Combine like terms: -36X + -12X = -48X -18 + -48X = 30 Solving -18 + -48X = 30 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -48X = 30 + 18 Combine like terms: -18 + 18 = 0 0 + -48X = 30 + 18 -48X = 30 + 18 Combine like terms: 30 + 18 = 48 -48X = 48 Divide each side by '-48'. X = -1 Simplifying X = -1
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