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Simplifying 3x(-5 + -7) = 4 + 10x(6n + -7y) Combine like terms: -5 + -7 = -12 3x(-12) = 4 + 10x(6n + -7y) Reorder the terms for easier multiplication: 3 * -12x = 4 + 10x(6n + -7y) Multiply 3 * -12 -36x = 4 + 10x(6n + -7y) -36x = 4 + (6n * 10x + -7y * 10x) -36x = 4 + (60nx + -70xy) Solving -36x = 4 + 60nx + -70xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60nx' to each side of the equation. -60nx + -36x = 4 + 60nx + -60nx + -70xy Combine like terms: 60nx + -60nx = 0 -60nx + -36x = 4 + 0 + -70xy -60nx + -36x = 4 + -70xy Add '70xy' to each side of the equation. -60nx + -36x + 70xy = 4 + -70xy + 70xy Combine like terms: -70xy + 70xy = 0 -60nx + -36x + 70xy = 4 + 0 -60nx + -36x + 70xy = 4 Reorder the terms: -4 + -60nx + -36x + 70xy = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + -60nx + -36x + 70xy = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + -30nx + -18x + 35xy) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -30nx + -18x + 35xy)' equal to zero and attempt to solve: Simplifying -2 + -30nx + -18x + 35xy = 0 Solving -2 + -30nx + -18x + 35xy = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -30nx + -18x + 2 + 35xy = 0 + 2 Reorder the terms: -2 + 2 + -30nx + -18x + 35xy = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -30nx + -18x + 35xy = 0 + 2 -30nx + -18x + 35xy = 0 + 2 Combine like terms: 0 + 2 = 2 -30nx + -18x + 35xy = 2 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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