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Simplifying -8(3x + 5) = 32 Reorder the terms: -8(5 + 3x) = 32 (5 * -8 + 3x * -8) = 32 (-40 + -24x) = 32 Solving -40 + -24x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -24x = 32 + 40 Combine like terms: -40 + 40 = 0 0 + -24x = 32 + 40 -24x = 32 + 40 Combine like terms: 32 + 40 = 72 -24x = 72 Divide each side by '-24'. x = -3 Simplifying x = -3
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