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Simplifying -2x + -33 = -1(1 + -2x) Reorder the terms: -33 + -2x = -1(1 + -2x) -33 + -2x = (1 * -1 + -2x * -1) -33 + -2x = (-1 + 2x) Solving -33 + -2x = -1 + 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. -33 + -2x + -2x = -1 + 2x + -2x Combine like terms: -2x + -2x = -4x -33 + -4x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 -33 + -4x = -1 + 0 -33 + -4x = -1 Add '33' to each side of the equation. -33 + 33 + -4x = -1 + 33 Combine like terms: -33 + 33 = 0 0 + -4x = -1 + 33 -4x = -1 + 33 Combine like terms: -1 + 33 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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