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Simplifying 5x + (38 + -1x) * 2 = 100 Reorder the terms for easier multiplication: 5x + 2(38 + -1x) = 100 5x + (38 * 2 + -1x * 2) = 100 5x + (76 + -2x) = 100 Reorder the terms: 76 + 5x + -2x = 100 Combine like terms: 5x + -2x = 3x 76 + 3x = 100 Solving 76 + 3x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-76' to each side of the equation. 76 + -76 + 3x = 100 + -76 Combine like terms: 76 + -76 = 0 0 + 3x = 100 + -76 3x = 100 + -76 Combine like terms: 100 + -76 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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