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Simplifying 2(3x + 4) + 5(4x + 1) = 41 Reorder the terms: 2(4 + 3x) + 5(4x + 1) = 41 (4 * 2 + 3x * 2) + 5(4x + 1) = 41 (8 + 6x) + 5(4x + 1) = 41 Reorder the terms: 8 + 6x + 5(1 + 4x) = 41 8 + 6x + (1 * 5 + 4x * 5) = 41 8 + 6x + (5 + 20x) = 41 Reorder the terms: 8 + 5 + 6x + 20x = 41 Combine like terms: 8 + 5 = 13 13 + 6x + 20x = 41 Combine like terms: 6x + 20x = 26x 13 + 26x = 41 Solving 13 + 26x = 41 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 26x = 41 + -13 Combine like terms: 13 + -13 = 0 0 + 26x = 41 + -13 26x = 41 + -13 Combine like terms: 41 + -13 = 28 26x = 28 Divide each side by '26'. x = 1.076923077 Simplifying x = 1.076923077
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