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Simplifying -6(-3x + 2) = 4 + 2x Reorder the terms: -6(2 + -3x) = 4 + 2x (2 * -6 + -3x * -6) = 4 + 2x (-12 + 18x) = 4 + 2x Solving -12 + 18x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + 18x + -2x = 4 + 2x + -2x Combine like terms: 18x + -2x = 16x -12 + 16x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 16x = 4 + 0 -12 + 16x = 4 Add '12' to each side of the equation. -12 + 12 + 16x = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 16x = 4 + 12 16x = 4 + 12 Combine like terms: 4 + 12 = 16 16x = 16 Divide each side by '16'. x = 1 Simplifying x = 1
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