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Simplifying X + x + 1 + -3x(x + 1) + x(x) = 7x(x) Reorder the terms: X + x + 1 + -3x(1 + x) + x(x) = 7x(x) X + x + 1 + (1 * -3x + x * -3x) + x(x) = 7x(x) X + x + 1 + (-3x + -3x2) + x(x) = 7x(x) Multiply x * x X + x + 1 + -3x + -3x2 + x2 = 7x(x) Reorder the terms: 1 + X + x + -3x + -3x2 + x2 = 7x(x) Combine like terms: x + -3x = -2x 1 + X + -2x + -3x2 + x2 = 7x(x) Combine like terms: -3x2 + x2 = -2x2 1 + X + -2x + -2x2 = 7x(x) Multiply x * x 1 + X + -2x + -2x2 = 7x2 Solving 1 + X + -2x + -2x2 = 7x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + X + -2x + -1 + -2x2 = -1 + 7x2 Reorder the terms: 1 + -1 + X + -2x + -2x2 = -1 + 7x2 Combine like terms: 1 + -1 = 0 0 + X + -2x + -2x2 = -1 + 7x2 X + -2x + -2x2 = -1 + 7x2 Add '2x' to each side of the equation. X + -2x + 2x + -2x2 = -1 + 2x + 7x2 Combine like terms: -2x + 2x = 0 X + 0 + -2x2 = -1 + 2x + 7x2 X + -2x2 = -1 + 2x + 7x2 Add '2x2' to each side of the equation. X + -2x2 + 2x2 = -1 + 2x + 7x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 X + 0 = -1 + 2x + 7x2 + 2x2 X = -1 + 2x + 7x2 + 2x2 Combine like terms: 7x2 + 2x2 = 9x2 X = -1 + 2x + 9x2 Simplifying X = -1 + 2x + 9x2
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