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Simplifying 2(2x + 3) + 3(5x + -1) = 41 Reorder the terms: 2(3 + 2x) + 3(5x + -1) = 41 (3 * 2 + 2x * 2) + 3(5x + -1) = 41 (6 + 4x) + 3(5x + -1) = 41 Reorder the terms: 6 + 4x + 3(-1 + 5x) = 41 6 + 4x + (-1 * 3 + 5x * 3) = 41 6 + 4x + (-3 + 15x) = 41 Reorder the terms: 6 + -3 + 4x + 15x = 41 Combine like terms: 6 + -3 = 3 3 + 4x + 15x = 41 Combine like terms: 4x + 15x = 19x 3 + 19x = 41 Solving 3 + 19x = 41 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 19x = 41 + -3 Combine like terms: 3 + -3 = 0 0 + 19x = 41 + -3 19x = 41 + -3 Combine like terms: 41 + -3 = 38 19x = 38 Divide each side by '19'. x = 2 Simplifying x = 2
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