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Simplifying 5(2x + 1) + 3(7x + 2) = 0 Reorder the terms: 5(1 + 2x) + 3(7x + 2) = 0 (1 * 5 + 2x * 5) + 3(7x + 2) = 0 (5 + 10x) + 3(7x + 2) = 0 Reorder the terms: 5 + 10x + 3(2 + 7x) = 0 5 + 10x + (2 * 3 + 7x * 3) = 0 5 + 10x + (6 + 21x) = 0 Reorder the terms: 5 + 6 + 10x + 21x = 0 Combine like terms: 5 + 6 = 11 11 + 10x + 21x = 0 Combine like terms: 10x + 21x = 31x 11 + 31x = 0 Solving 11 + 31x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 31x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 31x = 0 + -11 31x = 0 + -11 Combine like terms: 0 + -11 = -11 31x = -11 Divide each side by '31'. x = -0.3548387097 Simplifying x = -0.3548387097
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