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Simplifying 3x(y + 7) = 30 Reorder the terms: 3x(7 + y) = 30 (7 * 3x + y * 3x) = 30 (21x + 3xy) = 30 Solving 21x + 3xy = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Reorder the terms: -30 + 21x + 3xy = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + 21x + 3xy = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-10 + 7x + xy) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-10 + 7x + xy)' equal to zero and attempt to solve: Simplifying -10 + 7x + xy = 0 Solving -10 + 7x + xy = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 7x + 10 + xy = 0 + 10 Reorder the terms: -10 + 10 + 7x + xy = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 7x + xy = 0 + 10 7x + xy = 0 + 10 Combine like terms: 0 + 10 = 10 7x + xy = 10 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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