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Simplifying 3(4x + -2) = 16x + -32 Reorder the terms: 3(-2 + 4x) = 16x + -32 (-2 * 3 + 4x * 3) = 16x + -32 (-6 + 12x) = 16x + -32 Reorder the terms: -6 + 12x = -32 + 16x Solving -6 + 12x = -32 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -6 + 12x + -16x = -32 + 16x + -16x Combine like terms: 12x + -16x = -4x -6 + -4x = -32 + 16x + -16x Combine like terms: 16x + -16x = 0 -6 + -4x = -32 + 0 -6 + -4x = -32 Add '6' to each side of the equation. -6 + 6 + -4x = -32 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = -32 + 6 -4x = -32 + 6 Combine like terms: -32 + 6 = -26 -4x = -26 Divide each side by '-4'. x = 6.5 Simplifying x = 6.5
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