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Simplifying -4x + -8 + 5x = 12 + 5x Reorder the terms: -8 + -4x + 5x = 12 + 5x Combine like terms: -4x + 5x = 1x -8 + 1x = 12 + 5x Solving -8 + 1x = 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 + 1x + -5x = 12 + 5x + -5x Combine like terms: 1x + -5x = -4x -8 + -4x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + -4x = 12 + 0 -8 + -4x = 12 Add '8' to each side of the equation. -8 + 8 + -4x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = 12 + 8 -4x = 12 + 8 Combine like terms: 12 + 8 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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