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