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Simplifying 2(3(4 + -1x) + -2(3 + 2x) + -2) = 44 2((4 * 3 + -1x * 3) + -2(3 + 2x) + -2) = 44 2((12 + -3x) + -2(3 + 2x) + -2) = 44 2(12 + -3x + (3 * -2 + 2x * -2) + -2) = 44 2(12 + -3x + (-6 + -4x) + -2) = 44 Reorder the terms: 2(12 + -6 + -2 + -3x + -4x) = 44 Combine like terms: 12 + -6 = 6 2(6 + -2 + -3x + -4x) = 44 Combine like terms: 6 + -2 = 4 2(4 + -3x + -4x) = 44 Combine like terms: -3x + -4x = -7x 2(4 + -7x) = 44 (4 * 2 + -7x * 2) = 44 (8 + -14x) = 44 Solving 8 + -14x = 44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -14x = 44 + -8 Combine like terms: 8 + -8 = 0 0 + -14x = 44 + -8 -14x = 44 + -8 Combine like terms: 44 + -8 = 36 -14x = 36 Divide each side by '-14'. x = -2.571428571 Simplifying x = -2.571428571
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