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Simplifying 3(2X + 1) + 5(2X + 2) = 0 Reorder the terms: 3(1 + 2X) + 5(2X + 2) = 0 (1 * 3 + 2X * 3) + 5(2X + 2) = 0 (3 + 6X) + 5(2X + 2) = 0 Reorder the terms: 3 + 6X + 5(2 + 2X) = 0 3 + 6X + (2 * 5 + 2X * 5) = 0 3 + 6X + (10 + 10X) = 0 Reorder the terms: 3 + 10 + 6X + 10X = 0 Combine like terms: 3 + 10 = 13 13 + 6X + 10X = 0 Combine like terms: 6X + 10X = 16X 13 + 16X = 0 Solving 13 + 16X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 16X = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 16X = 0 + -13 16X = 0 + -13 Combine like terms: 0 + -13 = -13 16X = -13 Divide each side by '16'. X = -0.8125 Simplifying X = -0.8125
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