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Simplifying 3x + -7 + (x * x) = (x * x) + -5x + 1 Multiply x * x 3x + -7 + (x2) = (x * x) + -5x + 1 3x + -7 + x2 = (x * x) + -5x + 1 Reorder the terms: -7 + 3x + x2 = (x * x) + -5x + 1 Multiply x * x -7 + 3x + x2 = (x2) + -5x + 1 -7 + 3x + x2 = x2 + -5x + 1 Reorder the terms: -7 + 3x + x2 = 1 + -5x + x2 Add '-1x2' to each side of the equation. -7 + 3x + x2 + -1x2 = 1 + -5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -7 + 3x + 0 = 1 + -5x + x2 + -1x2 -7 + 3x = 1 + -5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -7 + 3x = 1 + -5x + 0 -7 + 3x = 1 + -5x Solving -7 + 3x = 1 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -7 + 3x + 5x = 1 + -5x + 5x Combine like terms: 3x + 5x = 8x -7 + 8x = 1 + -5x + 5x Combine like terms: -5x + 5x = 0 -7 + 8x = 1 + 0 -7 + 8x = 1 Add '7' to each side of the equation. -7 + 7 + 8x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = 1 + 7 8x = 1 + 7 Combine like terms: 1 + 7 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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