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Simplifying x(x + 3) + -2 = 2 + x(x + 1) Reorder the terms: x(3 + x) + -2 = 2 + x(x + 1) (3 * x + x * x) + -2 = 2 + x(x + 1) (3x + x2) + -2 = 2 + x(x + 1) Reorder the terms: -2 + 3x + x2 = 2 + x(x + 1) Reorder the terms: -2 + 3x + x2 = 2 + x(1 + x) -2 + 3x + x2 = 2 + (1 * x + x * x) -2 + 3x + x2 = 2 + (1x + x2) Add '-1x2' to each side of the equation. -2 + 3x + x2 + -1x2 = 2 + 1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -2 + 3x + 0 = 2 + 1x + x2 + -1x2 -2 + 3x = 2 + 1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -2 + 3x = 2 + 1x + 0 -2 + 3x = 2 + 1x Solving -2 + 3x = 2 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -2 + 3x + -1x = 2 + 1x + -1x Combine like terms: 3x + -1x = 2x -2 + 2x = 2 + 1x + -1x Combine like terms: 1x + -1x = 0 -2 + 2x = 2 + 0 -2 + 2x = 2 Add '2' to each side of the equation. -2 + 2 + 2x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 2 + 2 2x = 2 + 2 Combine like terms: 2 + 2 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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