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Simplifying -5 + 12x = 5x + -13 + -1x Reorder the terms: -5 + 12x = -13 + 5x + -1x Combine like terms: 5x + -1x = 4x -5 + 12x = -13 + 4x Solving -5 + 12x = -13 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5 + 12x + -4x = -13 + 4x + -4x Combine like terms: 12x + -4x = 8x -5 + 8x = -13 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + 8x = -13 + 0 -5 + 8x = -13 Add '5' to each side of the equation. -5 + 5 + 8x = -13 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = -13 + 5 8x = -13 + 5 Combine like terms: -13 + 5 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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