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Simplifying 5(3x + 2) + 4(2x + 1) = 0 Reorder the terms: 5(2 + 3x) + 4(2x + 1) = 0 (2 * 5 + 3x * 5) + 4(2x + 1) = 0 (10 + 15x) + 4(2x + 1) = 0 Reorder the terms: 10 + 15x + 4(1 + 2x) = 0 10 + 15x + (1 * 4 + 2x * 4) = 0 10 + 15x + (4 + 8x) = 0 Reorder the terms: 10 + 4 + 15x + 8x = 0 Combine like terms: 10 + 4 = 14 14 + 15x + 8x = 0 Combine like terms: 15x + 8x = 23x 14 + 23x = 0 Solving 14 + 23x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 23x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 23x = 0 + -14 23x = 0 + -14 Combine like terms: 0 + -14 = -14 23x = -14 Divide each side by '23'. x = -0.6086956522 Simplifying x = -0.6086956522
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