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Simplifying 12(2x + -3) + 5(7x + -9) = 0 Reorder the terms: 12(-3 + 2x) + 5(7x + -9) = 0 (-3 * 12 + 2x * 12) + 5(7x + -9) = 0 (-36 + 24x) + 5(7x + -9) = 0 Reorder the terms: -36 + 24x + 5(-9 + 7x) = 0 -36 + 24x + (-9 * 5 + 7x * 5) = 0 -36 + 24x + (-45 + 35x) = 0 Reorder the terms: -36 + -45 + 24x + 35x = 0 Combine like terms: -36 + -45 = -81 -81 + 24x + 35x = 0 Combine like terms: 24x + 35x = 59x -81 + 59x = 0 Solving -81 + 59x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + 59x = 0 + 81 Combine like terms: -81 + 81 = 0 0 + 59x = 0 + 81 59x = 0 + 81 Combine like terms: 0 + 81 = 81 59x = 81 Divide each side by '59'. x = 1.372881356 Simplifying x = 1.372881356
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