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Simplifying 10(2x + 5) + 3(6x + 4) = 100 Reorder the terms: 10(5 + 2x) + 3(6x + 4) = 100 (5 * 10 + 2x * 10) + 3(6x + 4) = 100 (50 + 20x) + 3(6x + 4) = 100 Reorder the terms: 50 + 20x + 3(4 + 6x) = 100 50 + 20x + (4 * 3 + 6x * 3) = 100 50 + 20x + (12 + 18x) = 100 Reorder the terms: 50 + 12 + 20x + 18x = 100 Combine like terms: 50 + 12 = 62 62 + 20x + 18x = 100 Combine like terms: 20x + 18x = 38x 62 + 38x = 100 Solving 62 + 38x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-62' to each side of the equation. 62 + -62 + 38x = 100 + -62 Combine like terms: 62 + -62 = 0 0 + 38x = 100 + -62 38x = 100 + -62 Combine like terms: 100 + -62 = 38 38x = 38 Divide each side by '38'. x = 1 Simplifying x = 1
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