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Simplifying 3X + 2 + -4(X + -3) = 2(5X + -4) Reorder the terms: 3X + 2 + -4(-3 + X) = 2(5X + -4) 3X + 2 + (-3 * -4 + X * -4) = 2(5X + -4) 3X + 2 + (12 + -4X) = 2(5X + -4) Reorder the terms: 2 + 12 + 3X + -4X = 2(5X + -4) Combine like terms: 2 + 12 = 14 14 + 3X + -4X = 2(5X + -4) Combine like terms: 3X + -4X = -1X 14 + -1X = 2(5X + -4) Reorder the terms: 14 + -1X = 2(-4 + 5X) 14 + -1X = (-4 * 2 + 5X * 2) 14 + -1X = (-8 + 10X) Solving 14 + -1X = -8 + 10X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-10X' to each side of the equation. 14 + -1X + -10X = -8 + 10X + -10X Combine like terms: -1X + -10X = -11X 14 + -11X = -8 + 10X + -10X Combine like terms: 10X + -10X = 0 14 + -11X = -8 + 0 14 + -11X = -8 Add '-14' to each side of the equation. 14 + -14 + -11X = -8 + -14 Combine like terms: 14 + -14 = 0 0 + -11X = -8 + -14 -11X = -8 + -14 Combine like terms: -8 + -14 = -22 -11X = -22 Divide each side by '-11'. X = 2 Simplifying X = 2
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