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Simplifying 84 + -7x = 5x + -12 Reorder the terms: 84 + -7x = -12 + 5x Solving 84 + -7x = -12 + 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 = -12 + 5x + -5x Combine like terms: -7x + -5x = -12x 84 + -12x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 84 + -12x = -12 + 0 84 + -12x = -12 Add '-84' to each side of the equation. 84 + -84 + -12x = -12 + -84 Combine like terms: 84 + -84 = 0 0 + -12x = -12 + -84 -12x = -12 + -84 Combine like terms: -12 + -84 = -96 -12x = -96 Divide each side by '-12'. x = 8 Simplifying x = 8
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