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Simplifying 2(3X + -4) + 4x + 7 = 43 Reorder the terms: 2(-4 + 3X) + 4x + 7 = 43 (-4 * 2 + 3X * 2) + 4x + 7 = 43 (-8 + 6X) + 4x + 7 = 43 Reorder the terms: -8 + 7 + 6X + 4x = 43 Combine like terms: -8 + 7 = -1 -1 + 6X + 4x = 43 Solving -1 + 6X + 4x = 43 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 6X + 1 + 4x = 43 + 1 Reorder the terms: -1 + 1 + 6X + 4x = 43 + 1 Combine like terms: -1 + 1 = 0 0 + 6X + 4x = 43 + 1 6X + 4x = 43 + 1 Combine like terms: 43 + 1 = 44 6X + 4x = 44 Add '-4x' to each side of the equation. 6X + 4x + -4x = 44 + -4x Combine like terms: 4x + -4x = 0 6X + 0 = 44 + -4x 6X = 44 + -4x Divide each side by '6'. X = 7.333333333 + -0.6666666667x Simplifying X = 7.333333333 + -0.6666666667x
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