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Simplifying 5x + -84 = 100 + -3x Reorder the terms: -84 + 5x = 100 + -3x Solving -84 + 5x = 100 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -84 + 5x + 3x = 100 + -3x + 3x Combine like terms: 5x + 3x = 8x -84 + 8x = 100 + -3x + 3x Combine like terms: -3x + 3x = 0 -84 + 8x = 100 + 0 -84 + 8x = 100 Add '84' to each side of the equation. -84 + 84 + 8x = 100 + 84 Combine like terms: -84 + 84 = 0 0 + 8x = 100 + 84 8x = 100 + 84 Combine like terms: 100 + 84 = 184 8x = 184 Divide each side by '8'. x = 23 Simplifying x = 23
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