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Simplifying 4(2x + 3) + 5(x + -2) = 0 Reorder the terms: 4(3 + 2x) + 5(x + -2) = 0 (3 * 4 + 2x * 4) + 5(x + -2) = 0 (12 + 8x) + 5(x + -2) = 0 Reorder the terms: 12 + 8x + 5(-2 + x) = 0 12 + 8x + (-2 * 5 + x * 5) = 0 12 + 8x + (-10 + 5x) = 0 Reorder the terms: 12 + -10 + 8x + 5x = 0 Combine like terms: 12 + -10 = 2 2 + 8x + 5x = 0 Combine like terms: 8x + 5x = 13x 2 + 13x = 0 Solving 2 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 13x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 13x = 0 + -2 13x = 0 + -2 Combine like terms: 0 + -2 = -2 13x = -2 Divide each side by '13'. x = -0.1538461538 Simplifying x = -0.1538461538
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