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Simplifying 4(6x + 7) = 100 Reorder the terms: 4(7 + 6x) = 100 (7 * 4 + 6x * 4) = 100 (28 + 24x) = 100 Solving 28 + 24x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 24x = 100 + -28 Combine like terms: 28 + -28 = 0 0 + 24x = 100 + -28 24x = 100 + -28 Combine like terms: 100 + -28 = 72 24x = 72 Divide each side by '24'. x = 3 Simplifying x = 3
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