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Simplifying x2 + 14x + 49 = x2 + 16x + 64 Reorder the terms: 49 + 14x + x2 = x2 + 16x + 64 Reorder the terms: 49 + 14x + x2 = 64 + 16x + x2 Add '-1x2' to each side of the equation. 49 + 14x + x2 + -1x2 = 64 + 16x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 49 + 14x + 0 = 64 + 16x + x2 + -1x2 49 + 14x = 64 + 16x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 49 + 14x = 64 + 16x + 0 49 + 14x = 64 + 16x Solving 49 + 14x = 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 + 14x + -16x = 64 + 16x + -16x Combine like terms: 14x + -16x = -2x 49 + -2x = 64 + 16x + -16x Combine like terms: 16x + -16x = 0 49 + -2x = 64 + 0 49 + -2x = 64 Add '-49' to each side of the equation. 49 + -49 + -2x = 64 + -49 Combine like terms: 49 + -49 = 0 0 + -2x = 64 + -49 -2x = 64 + -49 Combine like terms: 64 + -49 = 15 -2x = 15 Divide each side by '-2'. x = -7.5 Simplifying x = -7.5
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