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Simplifying 7x + -5 = 8x + 12 Reorder the terms: -5 + 7x = 8x + 12 Reorder the terms: -5 + 7x = 12 + 8x Solving -5 + 7x = 12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5 + 7x + -8x = 12 + 8x + -8x Combine like terms: 7x + -8x = -1x -5 + -1x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + -1x = 12 + 0 -5 + -1x = 12 Add '5' to each side of the equation. -5 + 5 + -1x = 12 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 12 + 5 -1x = 12 + 5 Combine like terms: 12 + 5 = 17 -1x = 17 Divide each side by '-1'. x = -17 Simplifying x = -17
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