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Simplifying 6(2x + -1) = 2(-2x + 1) Reorder the terms: 6(-1 + 2x) = 2(-2x + 1) (-1 * 6 + 2x * 6) = 2(-2x + 1) (-6 + 12x) = 2(-2x + 1) Reorder the terms: -6 + 12x = 2(1 + -2x) -6 + 12x = (1 * 2 + -2x * 2) -6 + 12x = (2 + -4x) Solving -6 + 12x = 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. -6 + 12x + 4x = 2 + -4x + 4x Combine like terms: 12x + 4x = 16x -6 + 16x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 16x = 2 + 0 -6 + 16x = 2 Add '6' to each side of the equation. -6 + 6 + 16x = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 16x = 2 + 6 16x = 2 + 6 Combine like terms: 2 + 6 = 8 16x = 8 Divide each side by '16'. x = 0.5 Simplifying x = 0.5
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