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Simplifying x + (-8) + -4x = -12 + -5x x + -8 + -4x = -12 + -5x Reorder the terms: -8 + x + -4x = -12 + -5x Combine like terms: x + -4x = -3x -8 + -3x = -12 + -5x Solving -8 + -3x = -12 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -8 + -3x + 5x = -12 + -5x + 5x Combine like terms: -3x + 5x = 2x -8 + 2x = -12 + -5x + 5x Combine like terms: -5x + 5x = 0 -8 + 2x = -12 + 0 -8 + 2x = -12 Add '8' to each side of the equation. -8 + 8 + 2x = -12 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = -12 + 8 2x = -12 + 8 Combine like terms: -12 + 8 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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