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Simplifying x2 + (x2 + 14x + 7x + 49) = x2 + (x2 + 8x + 8x + 64) Reorder the terms: x2 + (49 + 14x + 7x + x2) = x2 + (x2 + 8x + 8x + 64) Combine like terms: 14x + 7x = 21x x2 + (49 + 21x + x2) = x2 + (x2 + 8x + 8x + 64) Remove parenthesis around (49 + 21x + x2) x2 + 49 + 21x + x2 = x2 + (x2 + 8x + 8x + 64) Reorder the terms: 49 + 21x + x2 + x2 = x2 + (x2 + 8x + 8x + 64) Combine like terms: x2 + x2 = 2x2 49 + 21x + 2x2 = x2 + (x2 + 8x + 8x + 64) Reorder the terms: 49 + 21x + 2x2 = x2 + (64 + 8x + 8x + x2) Combine like terms: 8x + 8x = 16x 49 + 21x + 2x2 = x2 + (64 + 16x + x2) Remove parenthesis around (64 + 16x + x2) 49 + 21x + 2x2 = x2 + 64 + 16x + x2 Reorder the terms: 49 + 21x + 2x2 = 64 + 16x + x2 + x2 Combine like terms: x2 + x2 = 2x2 49 + 21x + 2x2 = 64 + 16x + 2x2 Add '-2x2' to each side of the equation. 49 + 21x + 2x2 + -2x2 = 64 + 16x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 49 + 21x + 0 = 64 + 16x + 2x2 + -2x2 49 + 21x = 64 + 16x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 49 + 21x = 64 + 16x + 0 49 + 21x = 64 + 16x Solving 49 + 21x = 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. 49 + 21x + -16x = 64 + 16x + -16x Combine like terms: 21x + -16x = 5x 49 + 5x = 64 + 16x + -16x Combine like terms: 16x + -16x = 0 49 + 5x = 64 + 0 49 + 5x = 64 Add '-49' to each side of the equation. 49 + -49 + 5x = 64 + -49 Combine like terms: 49 + -49 = 0 0 + 5x = 64 + -49 5x = 64 + -49 Combine like terms: 64 + -49 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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