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Simplifying 2(8 + -3x) + 2(10 + -4x) = 10 (8 * 2 + -3x * 2) + 2(10 + -4x) = 10 (16 + -6x) + 2(10 + -4x) = 10 16 + -6x + (10 * 2 + -4x * 2) = 10 16 + -6x + (20 + -8x) = 10 Reorder the terms: 16 + 20 + -6x + -8x = 10 Combine like terms: 16 + 20 = 36 36 + -6x + -8x = 10 Combine like terms: -6x + -8x = -14x 36 + -14x = 10 Solving 36 + -14x = 10 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 = 10 + -36 Combine like terms: 36 + -36 = 0 0 + -14x = 10 + -36 -14x = 10 + -36 Combine like terms: 10 + -36 = -26 -14x = -26 Divide each side by '-14'. x = 1.857142857 Simplifying x = 1.857142857
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