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Simplifying 5(4x + 1) + -9(2x + -3) = 38 Reorder the terms: 5(1 + 4x) + -9(2x + -3) = 38 (1 * 5 + 4x * 5) + -9(2x + -3) = 38 (5 + 20x) + -9(2x + -3) = 38 Reorder the terms: 5 + 20x + -9(-3 + 2x) = 38 5 + 20x + (-3 * -9 + 2x * -9) = 38 5 + 20x + (27 + -18x) = 38 Reorder the terms: 5 + 27 + 20x + -18x = 38 Combine like terms: 5 + 27 = 32 32 + 20x + -18x = 38 Combine like terms: 20x + -18x = 2x 32 + 2x = 38 Solving 32 + 2x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 2x = 38 + -32 Combine like terms: 32 + -32 = 0 0 + 2x = 38 + -32 2x = 38 + -32 Combine like terms: 38 + -32 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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