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Simplifying 4xy2 + 3xy + -1(5yx + 3x + x + 2xy2) = 2xy2 + -2xy + -4x Reorder the terms: 4xy2 + 3xy + -1(3x + x + 5xy + 2xy2) = 2xy2 + -2xy + -4x Combine like terms: 3x + x = 4x 4xy2 + 3xy + -1(4x + 5xy + 2xy2) = 2xy2 + -2xy + -4x 4xy2 + 3xy + (4x * -1 + 5xy * -1 + 2xy2 * -1) = 2xy2 + -2xy + -4x 4xy2 + 3xy + (-4x + -5xy + -2xy2) = 2xy2 + -2xy + -4x Reorder the terms: -4x + 3xy + -5xy + 4xy2 + -2xy2 = 2xy2 + -2xy + -4x Combine like terms: 3xy + -5xy = -2xy -4x + -2xy + 4xy2 + -2xy2 = 2xy2 + -2xy + -4x Combine like terms: 4xy2 + -2xy2 = 2xy2 -4x + -2xy + 2xy2 = 2xy2 + -2xy + -4x Reorder the terms: -4x + -2xy + 2xy2 = -4x + -2xy + 2xy2 Add '4x' to each side of the equation. -4x + -2xy + 4x + 2xy2 = -4x + -2xy + 4x + 2xy2 Reorder the terms: -4x + 4x + -2xy + 2xy2 = -4x + -2xy + 4x + 2xy2 Combine like terms: -4x + 4x = 0 0 + -2xy + 2xy2 = -4x + -2xy + 4x + 2xy2 -2xy + 2xy2 = -4x + -2xy + 4x + 2xy2 Reorder the terms: -2xy + 2xy2 = -4x + 4x + -2xy + 2xy2 Combine like terms: -4x + 4x = 0 -2xy + 2xy2 = 0 + -2xy + 2xy2 -2xy + 2xy2 = -2xy + 2xy2 Add '2xy' to each side of the equation. -2xy + 2xy + 2xy2 = -2xy + 2xy + 2xy2 Combine like terms: -2xy + 2xy = 0 0 + 2xy2 = -2xy + 2xy + 2xy2 2xy2 = -2xy + 2xy + 2xy2 Combine like terms: -2xy + 2xy = 0 2xy2 = 0 + 2xy2 2xy2 = 2xy2 Add '-2xy2' to each side of the equation. 2xy2 + -2xy2 = 2xy2 + -2xy2 Combine like terms: 2xy2 + -2xy2 = 0 0 = 2xy2 + -2xy2 Combine like terms: 2xy2 + -2xy2 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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