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Simplifying 5(4x + 1) + 3(2x + 3) = 5x + 23 Reorder the terms: 5(1 + 4x) + 3(2x + 3) = 5x + 23 (1 * 5 + 4x * 5) + 3(2x + 3) = 5x + 23 (5 + 20x) + 3(2x + 3) = 5x + 23 Reorder the terms: 5 + 20x + 3(3 + 2x) = 5x + 23 5 + 20x + (3 * 3 + 2x * 3) = 5x + 23 5 + 20x + (9 + 6x) = 5x + 23 Reorder the terms: 5 + 9 + 20x + 6x = 5x + 23 Combine like terms: 5 + 9 = 14 14 + 20x + 6x = 5x + 23 Combine like terms: 20x + 6x = 26x 14 + 26x = 5x + 23 Reorder the terms: 14 + 26x = 23 + 5x Solving 14 + 26x = 23 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 14 + 26x + -5x = 23 + 5x + -5x Combine like terms: 26x + -5x = 21x 14 + 21x = 23 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + 21x = 23 + 0 14 + 21x = 23 Add '-14' to each side of the equation. 14 + -14 + 21x = 23 + -14 Combine like terms: 14 + -14 = 0 0 + 21x = 23 + -14 21x = 23 + -14 Combine like terms: 23 + -14 = 9 21x = 9 Divide each side by '21'. x = 0.4285714286 Simplifying x = 0.4285714286
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