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Simplifying x + 51 = -4x + -24 Reorder the terms: 51 + x = -4x + -24 Reorder the terms: 51 + x = -24 + -4x Solving 51 + x = -24 + -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. 51 + x + 4x = -24 + -4x + 4x Combine like terms: x + 4x = 5x 51 + 5x = -24 + -4x + 4x Combine like terms: -4x + 4x = 0 51 + 5x = -24 + 0 51 + 5x = -24 Add '-51' to each side of the equation. 51 + -51 + 5x = -24 + -51 Combine like terms: 51 + -51 = 0 0 + 5x = -24 + -51 5x = -24 + -51 Combine like terms: -24 + -51 = -75 5x = -75 Divide each side by '5'. x = -15 Simplifying x = -15
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