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Simplifying 7x + 84 = -10x + 5x Reorder the terms: 84 + 7x = -10x + 5x Combine like terms: -10x + 5x = -5x 84 + 7x = -5x Solving 84 + 7x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 84 + 7x + 5x = -5x + 5x Combine like terms: 7x + 5x = 12x 84 + 12x = -5x + 5x Combine like terms: -5x + 5x = 0 84 + 12x = 0 Add '-84' to each side of the equation. 84 + -84 + 12x = 0 + -84 Combine like terms: 84 + -84 = 0 0 + 12x = 0 + -84 12x = 0 + -84 Combine like terms: 0 + -84 = -84 12x = -84 Divide each side by '12'. x = -7 Simplifying x = -7
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