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Simplifying 4(3x + 5) + -2(4x + -3) = 0 Reorder the terms: 4(5 + 3x) + -2(4x + -3) = 0 (5 * 4 + 3x * 4) + -2(4x + -3) = 0 (20 + 12x) + -2(4x + -3) = 0 Reorder the terms: 20 + 12x + -2(-3 + 4x) = 0 20 + 12x + (-3 * -2 + 4x * -2) = 0 20 + 12x + (6 + -8x) = 0 Reorder the terms: 20 + 6 + 12x + -8x = 0 Combine like terms: 20 + 6 = 26 26 + 12x + -8x = 0 Combine like terms: 12x + -8x = 4x 26 + 4x = 0 Solving 26 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 4x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 4x = 0 + -26 4x = 0 + -26 Combine like terms: 0 + -26 = -26 4x = -26 Divide each side by '4'. x = -6.5 Simplifying x = -6.5
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