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Simplifying -2(-2x + 4) + 2x + -1 = -33 Reorder the terms: -2(4 + -2x) + 2x + -1 = -33 (4 * -2 + -2x * -2) + 2x + -1 = -33 (-8 + 4x) + 2x + -1 = -33 Reorder the terms: -8 + -1 + 4x + 2x = -33 Combine like terms: -8 + -1 = -9 -9 + 4x + 2x = -33 Combine like terms: 4x + 2x = 6x -9 + 6x = -33 Solving -9 + 6x = -33 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 6x = -33 + 9 Combine like terms: -9 + 9 = 0 0 + 6x = -33 + 9 6x = -33 + 9 Combine like terms: -33 + 9 = -24 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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