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Simplifying 2(8 + -3x) + 2(10 + -4x) = 0 (8 * 2 + -3x * 2) + 2(10 + -4x) = 0 (16 + -6x) + 2(10 + -4x) = 0 16 + -6x + (10 * 2 + -4x * 2) = 0 16 + -6x + (20 + -8x) = 0 Reorder the terms: 16 + 20 + -6x + -8x = 0 Combine like terms: 16 + 20 = 36 36 + -6x + -8x = 0 Combine like terms: -6x + -8x = -14x 36 + -14x = 0 Solving 36 + -14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -14x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -14x = 0 + -36 -14x = 0 + -36 Combine like terms: 0 + -36 = -36 -14x = -36 Divide each side by '-14'. x = 2.571428571 Simplifying x = 2.571428571
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