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Simplifying 4(2x + 3) + 3(5x + -2) = 0 Reorder the terms: 4(3 + 2x) + 3(5x + -2) = 0 (3 * 4 + 2x * 4) + 3(5x + -2) = 0 (12 + 8x) + 3(5x + -2) = 0 Reorder the terms: 12 + 8x + 3(-2 + 5x) = 0 12 + 8x + (-2 * 3 + 5x * 3) = 0 12 + 8x + (-6 + 15x) = 0 Reorder the terms: 12 + -6 + 8x + 15x = 0 Combine like terms: 12 + -6 = 6 6 + 8x + 15x = 0 Combine like terms: 8x + 15x = 23x 6 + 23x = 0 Solving 6 + 23x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 23x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 23x = 0 + -6 23x = 0 + -6 Combine like terms: 0 + -6 = -6 23x = -6 Divide each side by '23'. x = -0.2608695652 Simplifying x = -0.2608695652
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