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Simplifying 6(3x + -2) = 4x + -2 + 2 Reorder the terms: 6(-2 + 3x) = 4x + -2 + 2 (-2 * 6 + 3x * 6) = 4x + -2 + 2 (-12 + 18x) = 4x + -2 + 2 Reorder the terms: -12 + 18x = -2 + 2 + 4x Combine like terms: -2 + 2 = 0 -12 + 18x = 0 + 4x -12 + 18x = 4x Solving -12 + 18x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + 18x + -4x = 4x + -4x Combine like terms: 18x + -4x = 14x -12 + 14x = 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 14x = 0 Add '12' to each side of the equation. -12 + 12 + 14x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 14x = 0 + 12 14x = 0 + 12 Combine like terms: 0 + 12 = 12 14x = 12 Divide each side by '14'. x = 0.8571428571 Simplifying x = 0.8571428571
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