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Simplifying 5(2X + 9) + -4(X + -3) = 0 Reorder the terms: 5(9 + 2X) + -4(X + -3) = 0 (9 * 5 + 2X * 5) + -4(X + -3) = 0 (45 + 10X) + -4(X + -3) = 0 Reorder the terms: 45 + 10X + -4(-3 + X) = 0 45 + 10X + (-3 * -4 + X * -4) = 0 45 + 10X + (12 + -4X) = 0 Reorder the terms: 45 + 12 + 10X + -4X = 0 Combine like terms: 45 + 12 = 57 57 + 10X + -4X = 0 Combine like terms: 10X + -4X = 6X 57 + 6X = 0 Solving 57 + 6X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + -57 + 6X = 0 + -57 Combine like terms: 57 + -57 = 0 0 + 6X = 0 + -57 6X = 0 + -57 Combine like terms: 0 + -57 = -57 6X = -57 Divide each side by '6'. X = -9.5 Simplifying X = -9.5
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