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Simplifying x(x + -6) + 16 = x(x + 2) Reorder the terms: x(-6 + x) + 16 = x(x + 2) (-6 * x + x * x) + 16 = x(x + 2) (-6x + x2) + 16 = x(x + 2) Reorder the terms: 16 + -6x + x2 = x(x + 2) Reorder the terms: 16 + -6x + x2 = x(2 + x) 16 + -6x + x2 = (2 * x + x * x) 16 + -6x + x2 = (2x + x2) Add '-1x2' to each side of the equation. 16 + -6x + x2 + -1x2 = 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 16 + -6x + 0 = 2x + x2 + -1x2 16 + -6x = 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 16 + -6x = 2x + 0 16 + -6x = 2x Solving 16 + -6x = 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. 16 + -6x + -2x = 2x + -2x Combine like terms: -6x + -2x = -8x 16 + -8x = 2x + -2x Combine like terms: 2x + -2x = 0 16 + -8x = 0 Add '-16' to each side of the equation. 16 + -16 + -8x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -8x = 0 + -16 -8x = 0 + -16 Combine like terms: 0 + -16 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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