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Simplifying 3x(y + 7) + 90 = 180 Reorder the terms: 3x(7 + y) + 90 = 180 (7 * 3x + y * 3x) + 90 = 180 (21x + 3xy) + 90 = 180 Reorder the terms: 90 + 21x + 3xy = 180 Solving 90 + 21x + 3xy = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + 21x + -90 + 3xy = 180 + -90 Reorder the terms: 90 + -90 + 21x + 3xy = 180 + -90 Combine like terms: 90 + -90 = 0 0 + 21x + 3xy = 180 + -90 21x + 3xy = 180 + -90 Combine like terms: 180 + -90 = 90 21x + 3xy = 90 Reorder the terms: -90 + 21x + 3xy = 90 + -90 Combine like terms: 90 + -90 = 0 -90 + 21x + 3xy = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-30 + 7x + xy) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-30 + 7x + xy)' equal to zero and attempt to solve: Simplifying -30 + 7x + xy = 0 Solving -30 + 7x + xy = 0 Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 7x + 30 + xy = 0 + 30 Reorder the terms: -30 + 30 + 7x + xy = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 7x + xy = 0 + 30 7x + xy = 0 + 30 Combine like terms: 0 + 30 = 30 7x + xy = 30 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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