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Simplifying 7 = lx + 9l + 7 Reorder the terms: 7 = 7 + 9l + lx Add '-7' to each side of the equation. 7 + -7 = 7 + 9l + -7 + lx Combine like terms: 7 + -7 = 0 0 = 7 + 9l + -7 + lx Reorder the terms: 0 = 7 + -7 + 9l + lx Combine like terms: 7 + -7 = 0 0 = 0 + 9l + lx 0 = 9l + lx Solving 0 = 9l + lx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-9l' to each side of the equation. 0 + -9l = 9l + -9l + lx Remove the zero: -9l = 9l + -9l + lx Combine like terms: 9l + -9l = 0 -9l = 0 + lx -9l = lx Add '-1lx' to each side of the equation. -9l + -1lx = lx + -1lx Combine like terms: lx + -1lx = 0 -9l + -1lx = 0 Factor out the Greatest Common Factor (GCF), '-1l'. -1l(9 + x) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'l' equal to zero and attempt to solve: Simplifying l = 0 Solving l = 0 Move all terms containing l to the left, all other terms to the right. Simplifying l = 0Subproblem 2
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Add '-1x' to each side of the equation. x + -1x = -9 + -1x Combine like terms: x + -1x = 0 0 = -9 + -1x Simplifying 0 = -9 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
l = {0}
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