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