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Simplifying -51 + -7x = 8x + 24 Reorder the terms: -51 + -7x = 24 + 8x Solving -51 + -7x = 24 + 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. -51 + -7x + -8x = 24 + 8x + -8x Combine like terms: -7x + -8x = -15x -51 + -15x = 24 + 8x + -8x Combine like terms: 8x + -8x = 0 -51 + -15x = 24 + 0 -51 + -15x = 24 Add '51' to each side of the equation. -51 + 51 + -15x = 24 + 51 Combine like terms: -51 + 51 = 0 0 + -15x = 24 + 51 -15x = 24 + 51 Combine like terms: 24 + 51 = 75 -15x = 75 Divide each side by '-15'. x = -5 Simplifying x = -5
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