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Simplifying x(y + 3) + -2 = x(y + 1) Reorder the terms: x(3 + y) + -2 = x(y + 1) (3 * x + y * x) + -2 = x(y + 1) (3x + xy) + -2 = x(y + 1) Reorder the terms: -2 + 3x + xy = x(y + 1) Reorder the terms: -2 + 3x + xy = x(1 + y) -2 + 3x + xy = (1 * x + y * x) -2 + 3x + xy = (1x + xy) Add '-1xy' to each side of the equation. -2 + 3x + xy + -1xy = 1x + xy + -1xy Combine like terms: xy + -1xy = 0 -2 + 3x + 0 = 1x + xy + -1xy -2 + 3x = 1x + xy + -1xy Combine like terms: xy + -1xy = 0 -2 + 3x = 1x + 0 -2 + 3x = 1x Solving -2 + 3x = 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 = 1x + -1x Combine like terms: 3x + -1x = 2x -2 + 2x = 1x + -1x Combine like terms: 1x + -1x = 0 -2 + 2x = 0 Add '2' to each side of the equation. -2 + 2 + 2x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 0 + 2 2x = 0 + 2 Combine like terms: 0 + 2 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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