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Simplifying 3(4X + -2) + 2x = 34 Reorder the terms: 3(-2 + 4X) + 2x = 34 (-2 * 3 + 4X * 3) + 2x = 34 (-6 + 12X) + 2x = 34 Solving -6 + 12X + 2x = 34 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 12X + 6 + 2x = 34 + 6 Reorder the terms: -6 + 6 + 12X + 2x = 34 + 6 Combine like terms: -6 + 6 = 0 0 + 12X + 2x = 34 + 6 12X + 2x = 34 + 6 Combine like terms: 34 + 6 = 40 12X + 2x = 40 Add '-2x' to each side of the equation. 12X + 2x + -2x = 40 + -2x Combine like terms: 2x + -2x = 0 12X + 0 = 40 + -2x 12X = 40 + -2x Divide each side by '12'. X = 3.333333333 + -0.1666666667x Simplifying X = 3.333333333 + -0.1666666667x
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