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Simplifying 2(2x + 3) + -4(3x + -5) = 0 Reorder the terms: 2(3 + 2x) + -4(3x + -5) = 0 (3 * 2 + 2x * 2) + -4(3x + -5) = 0 (6 + 4x) + -4(3x + -5) = 0 Reorder the terms: 6 + 4x + -4(-5 + 3x) = 0 6 + 4x + (-5 * -4 + 3x * -4) = 0 6 + 4x + (20 + -12x) = 0 Reorder the terms: 6 + 20 + 4x + -12x = 0 Combine like terms: 6 + 20 = 26 26 + 4x + -12x = 0 Combine like terms: 4x + -12x = -8x 26 + -8x = 0 Solving 26 + -8x = 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 + -8x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -8x = 0 + -26 -8x = 0 + -26 Combine like terms: 0 + -26 = -26 -8x = -26 Divide each side by '-8'. x = 3.25 Simplifying x = 3.25
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