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Simplifying -27 + 15 = 8x + 5 + -7x Combine like terms: -27 + 15 = -12 -12 = 8x + 5 + -7x Reorder the terms: -12 = 5 + 8x + -7x Combine like terms: 8x + -7x = 1x -12 = 5 + 1x Solving -12 = 5 + 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. -12 + -1x = 5 + 1x + -1x Combine like terms: 1x + -1x = 0 -12 + -1x = 5 + 0 -12 + -1x = 5 Add '12' to each side of the equation. -12 + 12 + -1x = 5 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 5 + 12 -1x = 5 + 12 Combine like terms: 5 + 12 = 17 -1x = 17 Divide each side by '-1'. x = -17 Simplifying x = -17
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