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Simplifying 5x + 7 = -77 + -7x Reorder the terms: 7 + 5x = -77 + -7x Solving 7 + 5x = -77 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 7 + 5x + 7x = -77 + -7x + 7x Combine like terms: 5x + 7x = 12x 7 + 12x = -77 + -7x + 7x Combine like terms: -7x + 7x = 0 7 + 12x = -77 + 0 7 + 12x = -77 Add '-7' to each side of the equation. 7 + -7 + 12x = -77 + -7 Combine like terms: 7 + -7 = 0 0 + 12x = -77 + -7 12x = -77 + -7 Combine like terms: -77 + -7 = -84 12x = -84 Divide each side by '12'. x = -7 Simplifying x = -7
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