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Simplifying 2x + 8 = 6xl + -12 Reorder the terms: 8 + 2x = 6xl + -12 Reorder the terms: 8 + 2x = -12 + 6lx Solving 8 + 2x = -12 + 6lx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6lx' to each side of the equation. 8 + -6lx + 2x = -12 + 6lx + -6lx Combine like terms: 6lx + -6lx = 0 8 + -6lx + 2x = -12 + 0 8 + -6lx + 2x = -12 Add '-8' to each side of the equation. 8 + -6lx + -8 + 2x = -12 + -8 Reorder the terms: 8 + -8 + -6lx + 2x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -6lx + 2x = -12 + -8 -6lx + 2x = -12 + -8 Combine like terms: -12 + -8 = -20 -6lx + 2x = -20 Reorder the terms: 20 + -6lx + 2x = -20 + 20 Combine like terms: -20 + 20 = 0 20 + -6lx + 2x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(10 + -3lx + x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(10 + -3lx + x)' equal to zero and attempt to solve: Simplifying 10 + -3lx + x = 0 Solving 10 + -3lx + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -3lx + -10 + x = 0 + -10 Reorder the terms: 10 + -10 + -3lx + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3lx + x = 0 + -10 -3lx + x = 0 + -10 Combine like terms: 0 + -10 = -10 -3lx + x = -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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