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Simplifying 7x + -2y(x + 2) + x(3 + 2y) = 10x + -4y Reorder the terms: 7x + -2y(2 + x) + x(3 + 2y) = 10x + -4y 7x + (2 * -2y + x * -2y) + x(3 + 2y) = 10x + -4y Reorder the terms: 7x + (-2xy + -4y) + x(3 + 2y) = 10x + -4y 7x + (-2xy + -4y) + x(3 + 2y) = 10x + -4y 7x + -2xy + -4y + (3 * x + 2y * x) = 10x + -4y 7x + -2xy + -4y + (3x + 2xy) = 10x + -4y Reorder the terms: 7x + 3x + -2xy + 2xy + -4y = 10x + -4y Combine like terms: 7x + 3x = 10x 10x + -2xy + 2xy + -4y = 10x + -4y Combine like terms: -2xy + 2xy = 0 10x + 0 + -4y = 10x + -4y 10x + -4y = 10x + -4y Add '-10x' to each side of the equation. 10x + -10x + -4y = 10x + -10x + -4y Combine like terms: 10x + -10x = 0 0 + -4y = 10x + -10x + -4y -4y = 10x + -10x + -4y Combine like terms: 10x + -10x = 0 -4y = 0 + -4y -4y = -4y Add '4y' to each side of the equation. -4y + 4y = -4y + 4y Combine like terms: -4y + 4y = 0 0 = -4y + 4y Combine like terms: -4y + 4y = 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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