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Simplifying 4(2x + 1) + 3(7x + 4) = 103 Reorder the terms: 4(1 + 2x) + 3(7x + 4) = 103 (1 * 4 + 2x * 4) + 3(7x + 4) = 103 (4 + 8x) + 3(7x + 4) = 103 Reorder the terms: 4 + 8x + 3(4 + 7x) = 103 4 + 8x + (4 * 3 + 7x * 3) = 103 4 + 8x + (12 + 21x) = 103 Reorder the terms: 4 + 12 + 8x + 21x = 103 Combine like terms: 4 + 12 = 16 16 + 8x + 21x = 103 Combine like terms: 8x + 21x = 29x 16 + 29x = 103 Solving 16 + 29x = 103 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 29x = 103 + -16 Combine like terms: 16 + -16 = 0 0 + 29x = 103 + -16 29x = 103 + -16 Combine like terms: 103 + -16 = 87 29x = 87 Divide each side by '29'. x = 3 Simplifying x = 3
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