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Simplifying -12 + -5(x + 4) = 3x Reorder the terms: -12 + -5(4 + x) = 3x -12 + (4 * -5 + x * -5) = 3x -12 + (-20 + -5x) = 3x Combine like terms: -12 + -20 = -32 -32 + -5x = 3x Solving -32 + -5x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -32 + -5x + -3x = 3x + -3x Combine like terms: -5x + -3x = -8x -32 + -8x = 3x + -3x Combine like terms: 3x + -3x = 0 -32 + -8x = 0 Add '32' to each side of the equation. -32 + 32 + -8x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -8x = 0 + 32 -8x = 0 + 32 Combine like terms: 0 + 32 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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