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