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Simplifying -16x + x(3 + -1x) = 3x + -1x2 + 32 -16x + (3 * x + -1x * x) = 3x + -1x2 + 32 -16x + (3x + -1x2) = 3x + -1x2 + 32 Combine like terms: -16x + 3x = -13x -13x + -1x2 = 3x + -1x2 + 32 Reorder the terms: -13x + -1x2 = 32 + 3x + -1x2 Add 'x2' to each side of the equation. -13x + -1x2 + x2 = 32 + 3x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -13x + 0 = 32 + 3x + -1x2 + x2 -13x = 32 + 3x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -13x = 32 + 3x + 0 -13x = 32 + 3x Solving -13x = 32 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -13x + -3x = 32 + 3x + -3x Combine like terms: -13x + -3x = -16x -16x = 32 + 3x + -3x Combine like terms: 3x + -3x = 0 -16x = 32 + 0 -16x = 32 Divide each side by '-16'. x = -2 Simplifying x = -2
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