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Simplifying 7x + -4 + 3x + 24 = 100 Reorder the terms: -4 + 24 + 7x + 3x = 100 Combine like terms: -4 + 24 = 20 20 + 7x + 3x = 100 Combine like terms: 7x + 3x = 10x 20 + 10x = 100 Solving 20 + 10x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 10x = 100 + -20 Combine like terms: 20 + -20 = 0 0 + 10x = 100 + -20 10x = 100 + -20 Combine like terms: 100 + -20 = 80 10x = 80 Divide each side by '10'. x = 8 Simplifying x = 8
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