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Simplifying (8 + x) + -1(5x + 32) = 12 Remove parenthesis around (8 + x) 8 + x + -1(5x + 32) = 12 Reorder the terms: 8 + x + -1(32 + 5x) = 12 8 + x + (32 * -1 + 5x * -1) = 12 8 + x + (-32 + -5x) = 12 Reorder the terms: 8 + -32 + x + -5x = 12 Combine like terms: 8 + -32 = -24 -24 + x + -5x = 12 Combine like terms: x + -5x = -4x -24 + -4x = 12 Solving -24 + -4x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -4x = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -4x = 12 + 24 -4x = 12 + 24 Combine like terms: 12 + 24 = 36 -4x = 36 Divide each side by '-4'. x = -9 Simplifying x = -9
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