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Simplifying x + 84 = -4x + 9 Reorder the terms: 84 + x = -4x + 9 Reorder the terms: 84 + x = 9 + -4x Solving 84 + x = 9 + -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. 84 + x + 4x = 9 + -4x + 4x Combine like terms: x + 4x = 5x 84 + 5x = 9 + -4x + 4x Combine like terms: -4x + 4x = 0 84 + 5x = 9 + 0 84 + 5x = 9 Add '-84' to each side of the equation. 84 + -84 + 5x = 9 + -84 Combine like terms: 84 + -84 = 0 0 + 5x = 9 + -84 5x = 9 + -84 Combine like terms: 9 + -84 = -75 5x = -75 Divide each side by '5'. x = -15 Simplifying x = -15
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