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Simplifying 84 + 7x = 100 + 5x Solving 84 + 7x = 100 + 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 = 100 + 5x + -5x Combine like terms: 7x + -5x = 2x 84 + 2x = 100 + 5x + -5x Combine like terms: 5x + -5x = 0 84 + 2x = 100 + 0 84 + 2x = 100 Add '-84' to each side of the equation. 84 + -84 + 2x = 100 + -84 Combine like terms: 84 + -84 = 0 0 + 2x = 100 + -84 2x = 100 + -84 Combine like terms: 100 + -84 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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