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Simplifying 8x + -5 = -12 + -5x + 6x Reorder the terms: -5 + 8x = -12 + -5x + 6x Combine like terms: -5x + 6x = 1x -5 + 8x = -12 + 1x Solving -5 + 8x = -12 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -5 + 8x + -1x = -12 + 1x + -1x Combine like terms: 8x + -1x = 7x -5 + 7x = -12 + 1x + -1x Combine like terms: 1x + -1x = 0 -5 + 7x = -12 + 0 -5 + 7x = -12 Add '5' to each side of the equation. -5 + 5 + 7x = -12 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = -12 + 5 7x = -12 + 5 Combine like terms: -12 + 5 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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