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Simplifying 7x(16 + -27) = 13y(5x + 18) Combine like terms: 16 + -27 = -11 7x(-11) = 13y(5x + 18) Reorder the terms for easier multiplication: 7 * -11x = 13y(5x + 18) Multiply 7 * -11 -77x = 13y(5x + 18) Reorder the terms: -77x = 13y(18 + 5x) -77x = (18 * 13y + 5x * 13y) Reorder the terms: -77x = (65xy + 234y) -77x = (65xy + 234y) Solving -77x = 65xy + 234y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-65xy' to each side of the equation. -77x + -65xy = 65xy + -65xy + 234y Combine like terms: 65xy + -65xy = 0 -77x + -65xy = 0 + 234y -77x + -65xy = 234y Combine like terms: 234y + -234y = 0 -77x + -65xy + -234y = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(77x + 65xy + 234y) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(77x + 65xy + 234y)' equal to zero and attempt to solve: Simplifying 77x + 65xy + 234y = 0 Solving 77x + 65xy + 234y = 0 Move all terms containing x to the left, all other terms to the right. Add '-234y' to each side of the equation. 77x + 65xy + 234y + -234y = 0 + -234y Combine like terms: 234y + -234y = 0 77x + 65xy + 0 = 0 + -234y 77x + 65xy = 0 + -234y Remove the zero: 77x + 65xy = -234y 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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