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Simplifying -2(x + 3) = -4x + 32 Reorder the terms: -2(3 + x) = -4x + 32 (3 * -2 + x * -2) = -4x + 32 (-6 + -2x) = -4x + 32 Reorder the terms: -6 + -2x = 32 + -4x Solving -6 + -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. -6 + -2x + 4x = 32 + -4x + 4x Combine like terms: -2x + 4x = 2x -6 + 2x = 32 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 2x = 32 + 0 -6 + 2x = 32 Add '6' to each side of the equation. -6 + 6 + 2x = 32 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 32 + 6 2x = 32 + 6 Combine like terms: 32 + 6 = 38 2x = 38 Divide each side by '2'. x = 19 Simplifying x = 19
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