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Simplifying 4x + -84 = 51 + -5x Reorder the terms: -84 + 4x = 51 + -5x Solving -84 + 4x = 51 + -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 + 4x + 5x = 51 + -5x + 5x Combine like terms: 4x + 5x = 9x -84 + 9x = 51 + -5x + 5x Combine like terms: -5x + 5x = 0 -84 + 9x = 51 + 0 -84 + 9x = 51 Add '84' to each side of the equation. -84 + 84 + 9x = 51 + 84 Combine like terms: -84 + 84 = 0 0 + 9x = 51 + 84 9x = 51 + 84 Combine like terms: 51 + 84 = 135 9x = 135 Divide each side by '9'. x = 15 Simplifying x = 15
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