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Simplifying 4(5x + -1(3 + -3y + 2x) + 7y) = 12x + 40y + -12 Reorder the terms: 4(5x + -1(3 + 2x + -3y) + 7y) = 12x + 40y + -12 4(5x + (3 * -1 + 2x * -1 + -3y * -1) + 7y) = 12x + 40y + -12 4(5x + (-3 + -2x + 3y) + 7y) = 12x + 40y + -12 Reorder the terms: 4(-3 + 5x + -2x + 3y + 7y) = 12x + 40y + -12 Combine like terms: 5x + -2x = 3x 4(-3 + 3x + 3y + 7y) = 12x + 40y + -12 Combine like terms: 3y + 7y = 10y 4(-3 + 3x + 10y) = 12x + 40y + -12 (-3 * 4 + 3x * 4 + 10y * 4) = 12x + 40y + -12 (-12 + 12x + 40y) = 12x + 40y + -12 Reorder the terms: -12 + 12x + 40y = -12 + 12x + 40y Add '12' to each side of the equation. -12 + 12x + 12 + 40y = -12 + 12x + 12 + 40y Reorder the terms: -12 + 12 + 12x + 40y = -12 + 12x + 12 + 40y Combine like terms: -12 + 12 = 0 0 + 12x + 40y = -12 + 12x + 12 + 40y 12x + 40y = -12 + 12x + 12 + 40y Reorder the terms: 12x + 40y = -12 + 12 + 12x + 40y Combine like terms: -12 + 12 = 0 12x + 40y = 0 + 12x + 40y 12x + 40y = 12x + 40y Add '-12x' to each side of the equation. 12x + -12x + 40y = 12x + -12x + 40y Combine like terms: 12x + -12x = 0 0 + 40y = 12x + -12x + 40y 40y = 12x + -12x + 40y Combine like terms: 12x + -12x = 0 40y = 0 + 40y 40y = 40y Add '-40y' to each side of the equation. 40y + -40y = 40y + -40y Combine like terms: 40y + -40y = 0 0 = 40y + -40y Combine like terms: 40y + -40y = 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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