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Simplifying -6(-3x + -2) = 2(1 + 4x) Reorder the terms: -6(-2 + -3x) = 2(1 + 4x) (-2 * -6 + -3x * -6) = 2(1 + 4x) (12 + 18x) = 2(1 + 4x) 12 + 18x = (1 * 2 + 4x * 2) 12 + 18x = (2 + 8x) Solving 12 + 18x = 2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 12 + 18x + -8x = 2 + 8x + -8x Combine like terms: 18x + -8x = 10x 12 + 10x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + 10x = 2 + 0 12 + 10x = 2 Add '-12' to each side of the equation. 12 + -12 + 10x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 10x = 2 + -12 10x = 2 + -12 Combine like terms: 2 + -12 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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