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Simplifying 4 + 5x = -6x + -51 Reorder the terms: 4 + 5x = -51 + -6x Solving 4 + 5x = -51 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 4 + 5x + 6x = -51 + -6x + 6x Combine like terms: 5x + 6x = 11x 4 + 11x = -51 + -6x + 6x Combine like terms: -6x + 6x = 0 4 + 11x = -51 + 0 4 + 11x = -51 Add '-4' to each side of the equation. 4 + -4 + 11x = -51 + -4 Combine like terms: 4 + -4 = 0 0 + 11x = -51 + -4 11x = -51 + -4 Combine like terms: -51 + -4 = -55 11x = -55 Divide each side by '11'. x = -5 Simplifying x = -5
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