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Simplifying 2(2x + -1) + -2(2 + -2x) = 12 Reorder the terms: 2(-1 + 2x) + -2(2 + -2x) = 12 (-1 * 2 + 2x * 2) + -2(2 + -2x) = 12 (-2 + 4x) + -2(2 + -2x) = 12 -2 + 4x + (2 * -2 + -2x * -2) = 12 -2 + 4x + (-4 + 4x) = 12 Reorder the terms: -2 + -4 + 4x + 4x = 12 Combine like terms: -2 + -4 = -6 -6 + 4x + 4x = 12 Combine like terms: 4x + 4x = 8x -6 + 8x = 12 Solving -6 + 8x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 8x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = 12 + 6 8x = 12 + 6 Combine like terms: 12 + 6 = 18 8x = 18 Divide each side by '8'. x = 2.25 Simplifying x = 2.25
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