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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 = -6x -7 + -6x = 0 Solving -7 + -6x = 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 + -6x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -6x = 0 + 7 -6x = 0 + 7 Combine like terms: 0 + 7 = 7 -6x = 7 Divide each side by '-6'. x = -1.166666667 Simplifying x = -1.166666667
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