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Simplifying 5(x + 3) + 4(2x + 1) = 0 Reorder the terms: 5(3 + x) + 4(2x + 1) = 0 (3 * 5 + x * 5) + 4(2x + 1) = 0 (15 + 5x) + 4(2x + 1) = 0 Reorder the terms: 15 + 5x + 4(1 + 2x) = 0 15 + 5x + (1 * 4 + 2x * 4) = 0 15 + 5x + (4 + 8x) = 0 Reorder the terms: 15 + 4 + 5x + 8x = 0 Combine like terms: 15 + 4 = 19 19 + 5x + 8x = 0 Combine like terms: 5x + 8x = 13x 19 + 13x = 0 Solving 19 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 13x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 13x = 0 + -19 13x = 0 + -19 Combine like terms: 0 + -19 = -19 13x = -19 Divide each side by '13'. x = -1.461538462 Simplifying x = -1.461538462
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