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Simplifying -2(-4x + 3) = 2(x + 6) Reorder the terms: -2(3 + -4x) = 2(x + 6) (3 * -2 + -4x * -2) = 2(x + 6) (-6 + 8x) = 2(x + 6) Reorder the terms: -6 + 8x = 2(6 + x) -6 + 8x = (6 * 2 + x * 2) -6 + 8x = (12 + 2x) Solving -6 + 8x = 12 + 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. -6 + 8x + -2x = 12 + 2x + -2x Combine like terms: 8x + -2x = 6x -6 + 6x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 6x = 12 + 0 -6 + 6x = 12 Add '6' to each side of the equation. -6 + 6 + 6x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 12 + 6 6x = 12 + 6 Combine like terms: 12 + 6 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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