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Simplifying 2(3x + 4) + -3(4x + -5) = 0 Reorder the terms: 2(4 + 3x) + -3(4x + -5) = 0 (4 * 2 + 3x * 2) + -3(4x + -5) = 0 (8 + 6x) + -3(4x + -5) = 0 Reorder the terms: 8 + 6x + -3(-5 + 4x) = 0 8 + 6x + (-5 * -3 + 4x * -3) = 0 8 + 6x + (15 + -12x) = 0 Reorder the terms: 8 + 15 + 6x + -12x = 0 Combine like terms: 8 + 15 = 23 23 + 6x + -12x = 0 Combine like terms: 6x + -12x = -6x 23 + -6x = 0 Solving 23 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -6x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -6x = 0 + -23 -6x = 0 + -23 Combine like terms: 0 + -23 = -23 -6x = -23 Divide each side by '-6'. x = 3.833333333 Simplifying x = 3.833333333
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