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Simplifying 32 = -8(x + 5) Reorder the terms: 32 = -8(5 + x) 32 = (5 * -8 + x * -8) 32 = (-40 + -8x) Solving 32 = -40 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 32 + 8x = -40 + -8x + 8x Combine like terms: -8x + 8x = 0 32 + 8x = -40 + 0 32 + 8x = -40 Add '-32' to each side of the equation. 32 + -32 + 8x = -40 + -32 Combine like terms: 32 + -32 = 0 0 + 8x = -40 + -32 8x = -40 + -32 Combine like terms: -40 + -32 = -72 8x = -72 Divide each side by '8'. x = -9 Simplifying x = -9
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