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Simplifying 5(x + -9) + 4(3x + 12) = 0 Reorder the terms: 5(-9 + x) + 4(3x + 12) = 0 (-9 * 5 + x * 5) + 4(3x + 12) = 0 (-45 + 5x) + 4(3x + 12) = 0 Reorder the terms: -45 + 5x + 4(12 + 3x) = 0 -45 + 5x + (12 * 4 + 3x * 4) = 0 -45 + 5x + (48 + 12x) = 0 Reorder the terms: -45 + 48 + 5x + 12x = 0 Combine like terms: -45 + 48 = 3 3 + 5x + 12x = 0 Combine like terms: 5x + 12x = 17x 3 + 17x = 0 Solving 3 + 17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 17x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 17x = 0 + -3 17x = 0 + -3 Combine like terms: 0 + -3 = -3 17x = -3 Divide each side by '17'. x = -0.1764705882 Simplifying x = -0.1764705882
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