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Simplifying 5 + 3x * 7 + -1y = 4x * 10y + -9 + 7x + 3y Reorder the terms for easier multiplication: 5 + 3 * 7x + -1y = 4x * 10y + -9 + 7x + 3y Multiply 3 * 7 5 + 21x + -1y = 4x * 10y + -9 + 7x + 3y Reorder the terms for easier multiplication: 5 + 21x + -1y = 4 * 10x * y + -9 + 7x + 3y Multiply 4 * 10 5 + 21x + -1y = 40x * y + -9 + 7x + 3y Multiply x * y 5 + 21x + -1y = 40xy + -9 + 7x + 3y Reorder the terms: 5 + 21x + -1y = -9 + 7x + 40xy + 3y Solving 5 + 21x + -1y = -9 + 7x + 40xy + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 5 + 21x + -7x + -1y = -9 + 7x + 40xy + -7x + 3y Combine like terms: 21x + -7x = 14x 5 + 14x + -1y = -9 + 7x + 40xy + -7x + 3y Reorder the terms: 5 + 14x + -1y = -9 + 7x + -7x + 40xy + 3y Combine like terms: 7x + -7x = 0 5 + 14x + -1y = -9 + 0 + 40xy + 3y 5 + 14x + -1y = -9 + 40xy + 3y Add '-40xy' to each side of the equation. 5 + 14x + -40xy + -1y = -9 + 40xy + -40xy + 3y Combine like terms: 40xy + -40xy = 0 5 + 14x + -40xy + -1y = -9 + 0 + 3y 5 + 14x + -40xy + -1y = -9 + 3y Add '-5' to each side of the equation. 5 + 14x + -40xy + -5 + -1y = -9 + -5 + 3y Reorder the terms: 5 + -5 + 14x + -40xy + -1y = -9 + -5 + 3y Combine like terms: 5 + -5 = 0 0 + 14x + -40xy + -1y = -9 + -5 + 3y 14x + -40xy + -1y = -9 + -5 + 3y Combine like terms: -9 + -5 = -14 14x + -40xy + -1y = -14 + 3y Add 'y' to each side of the equation. 14x + -40xy + -1y + y = -14 + 3y + y Combine like terms: -1y + y = 0 14x + -40xy + 0 = -14 + 3y + y 14x + -40xy = -14 + 3y + y Combine like terms: 3y + y = 4y 14x + -40xy = -14 + 4y Reorder the terms: 14 + 14x + -40xy + -4y = -14 + 4y + 14 + -4y Reorder the terms: 14 + 14x + -40xy + -4y = -14 + 14 + 4y + -4y Combine like terms: -14 + 14 = 0 14 + 14x + -40xy + -4y = 0 + 4y + -4y 14 + 14x + -40xy + -4y = 4y + -4y Combine like terms: 4y + -4y = 0 14 + 14x + -40xy + -4y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(7 + 7x + -20xy + -2y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + 7x + -20xy + -2y)' equal to zero and attempt to solve: Simplifying 7 + 7x + -20xy + -2y = 0 Solving 7 + 7x + -20xy + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 7x + -20xy + -7 + -2y = 0 + -7 Reorder the terms: 7 + -7 + 7x + -20xy + -2y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 7x + -20xy + -2y = 0 + -7 7x + -20xy + -2y = 0 + -7 Combine like terms: 0 + -7 = -7 7x + -20xy + -2y = -7 Add '2y' to each side of the equation. 7x + -20xy + -2y + 2y = -7 + 2y Combine like terms: -2y + 2y = 0 7x + -20xy + 0 = -7 + 2y 7x + -20xy = -7 + 2y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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