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Simplifying 5(3x + 1) + 2(4x + 3) = 0 Reorder the terms: 5(1 + 3x) + 2(4x + 3) = 0 (1 * 5 + 3x * 5) + 2(4x + 3) = 0 (5 + 15x) + 2(4x + 3) = 0 Reorder the terms: 5 + 15x + 2(3 + 4x) = 0 5 + 15x + (3 * 2 + 4x * 2) = 0 5 + 15x + (6 + 8x) = 0 Reorder the terms: 5 + 6 + 15x + 8x = 0 Combine like terms: 5 + 6 = 11 11 + 15x + 8x = 0 Combine like terms: 15x + 8x = 23x 11 + 23x = 0 Solving 11 + 23x = 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 + 23x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 23x = 0 + -11 23x = 0 + -11 Combine like terms: 0 + -11 = -11 23x = -11 Divide each side by '23'. x = -0.4782608696 Simplifying x = -0.4782608696
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