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Simplifying 5x + 5(x + 6) = 100 Reorder the terms: 5x + 5(6 + x) = 100 5x + (6 * 5 + x * 5) = 100 5x + (30 + 5x) = 100 Reorder the terms: 30 + 5x + 5x = 100 Combine like terms: 5x + 5x = 10x 30 + 10x = 100 Solving 30 + 10x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 10x = 100 + -30 Combine like terms: 30 + -30 = 0 0 + 10x = 100 + -30 10x = 100 + -30 Combine like terms: 100 + -30 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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