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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 = 7 7 + 6x + 12x = 0 Combine like terms: 6x + 12x = 18x 7 + 18x = 0 Solving 7 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 18x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 18x = 0 + -7 18x = 0 + -7 Combine like terms: 0 + -7 = -7 18x = -7 Divide each side by '18'. x = -0.3888888889 Simplifying x = -0.3888888889
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