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Simplifying -6(3 + -3X) + -8(6X + 5) = 32 (3 * -6 + -3X * -6) + -8(6X + 5) = 32 (-18 + 18X) + -8(6X + 5) = 32 Reorder the terms: -18 + 18X + -8(5 + 6X) = 32 -18 + 18X + (5 * -8 + 6X * -8) = 32 -18 + 18X + (-40 + -48X) = 32 Reorder the terms: -18 + -40 + 18X + -48X = 32 Combine like terms: -18 + -40 = -58 -58 + 18X + -48X = 32 Combine like terms: 18X + -48X = -30X -58 + -30X = 32 Solving -58 + -30X = 32 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + -30X = 32 + 58 Combine like terms: -58 + 58 = 0 0 + -30X = 32 + 58 -30X = 32 + 58 Combine like terms: 32 + 58 = 90 -30X = 90 Divide each side by '-30'. X = -3 Simplifying X = -3
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