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Simplifying (x2 + -64) = x2 + -16x + 64 Reorder the terms: (-64 + x2) = x2 + -16x + 64 Remove parenthesis around (-64 + x2) -64 + x2 = x2 + -16x + 64 Reorder the terms: -64 + x2 = 64 + -16x + x2 Add '-1x2' to each side of the equation. -64 + x2 + -1x2 = 64 + -16x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -64 + 0 = 64 + -16x + x2 + -1x2 -64 = 64 + -16x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -64 = 64 + -16x + 0 -64 = 64 + -16x Solving -64 = 64 + -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. -64 + 16x = 64 + -16x + 16x Combine like terms: -16x + 16x = 0 -64 + 16x = 64 + 0 -64 + 16x = 64 Add '64' to each side of the equation. -64 + 64 + 16x = 64 + 64 Combine like terms: -64 + 64 = 0 0 + 16x = 64 + 64 16x = 64 + 64 Combine like terms: 64 + 64 = 128 16x = 128 Divide each side by '16'. x = 8 Simplifying x = 8
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