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Simplifying 6(3x + -2) = 2 + 4x Reorder the terms: 6(-2 + 3x) = 2 + 4x (-2 * 6 + 3x * 6) = 2 + 4x (-12 + 18x) = 2 + 4x Solving -12 + 18x = 2 + 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 = 2 + 4x + -4x Combine like terms: 18x + -4x = 14x -12 + 14x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 14x = 2 + 0 -12 + 14x = 2 Add '12' to each side of the equation. -12 + 12 + 14x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 14x = 2 + 12 14x = 2 + 12 Combine like terms: 2 + 12 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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