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Simplifying -2(x + 1) = 4x + -32 Reorder the terms: -2(1 + x) = 4x + -32 (1 * -2 + x * -2) = 4x + -32 (-2 + -2x) = 4x + -32 Reorder the terms: -2 + -2x = -32 + 4x Solving -2 + -2x = -32 + 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. -2 + -2x + -4x = -32 + 4x + -4x Combine like terms: -2x + -4x = -6x -2 + -6x = -32 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -6x = -32 + 0 -2 + -6x = -32 Add '2' to each side of the equation. -2 + 2 + -6x = -32 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = -32 + 2 -6x = -32 + 2 Combine like terms: -32 + 2 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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