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Simplifying 5(4x + 1) + -3(5x + -6) = 38 Reorder the terms: 5(1 + 4x) + -3(5x + -6) = 38 (1 * 5 + 4x * 5) + -3(5x + -6) = 38 (5 + 20x) + -3(5x + -6) = 38 Reorder the terms: 5 + 20x + -3(-6 + 5x) = 38 5 + 20x + (-6 * -3 + 5x * -3) = 38 5 + 20x + (18 + -15x) = 38 Reorder the terms: 5 + 18 + 20x + -15x = 38 Combine like terms: 5 + 18 = 23 23 + 20x + -15x = 38 Combine like terms: 20x + -15x = 5x 23 + 5x = 38 Solving 23 + 5x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 5x = 38 + -23 Combine like terms: 23 + -23 = 0 0 + 5x = 38 + -23 5x = 38 + -23 Combine like terms: 38 + -23 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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