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Simplifying 7bracket(x + -3) = 5bracket(x + 3) Reorder the terms: 7abcekrt(-3 + x) = 5bracket(x + 3) (-3 * 7abcekrt + x * 7abcekrt) = 5bracket(x + 3) (-21abcekrt + 7abcekrtx) = 5bracket(x + 3) Reorder the terms: -21abcekrt + 7abcekrtx = 5abcekrt(3 + x) -21abcekrt + 7abcekrtx = (3 * 5abcekrt + x * 5abcekrt) -21abcekrt + 7abcekrtx = (15abcekrt + 5abcekrtx) Solving -21abcekrt + 7abcekrtx = 15abcekrt + 5abcekrtx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15abcekrt' to each side of the equation. -21abcekrt + -15abcekrt + 7abcekrtx = 15abcekrt + -15abcekrt + 5abcekrtx Combine like terms: -21abcekrt + -15abcekrt = -36abcekrt -36abcekrt + 7abcekrtx = 15abcekrt + -15abcekrt + 5abcekrtx Combine like terms: 15abcekrt + -15abcekrt = 0 -36abcekrt + 7abcekrtx = 0 + 5abcekrtx -36abcekrt + 7abcekrtx = 5abcekrtx Add '-5abcekrtx' to each side of the equation. -36abcekrt + 7abcekrtx + -5abcekrtx = 5abcekrtx + -5abcekrtx Combine like terms: 7abcekrtx + -5abcekrtx = 2abcekrtx -36abcekrt + 2abcekrtx = 5abcekrtx + -5abcekrtx Combine like terms: 5abcekrtx + -5abcekrtx = 0 -36abcekrt + 2abcekrtx = 0 Factor out the Greatest Common Factor (GCF), '2abcekrt'. 2abcekrt(-18 + x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'abcekrt' equal to zero and attempt to solve: Simplifying abcekrt = 0 Solving abcekrt = 0 Move all terms containing a to the left, all other terms to the right. Simplifying abcekrt = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-18 + x)' equal to zero and attempt to solve: Simplifying -18 + x = 0 Solving -18 + x = 0 Move all terms containing a to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + x = 0 + 18 x = 0 + 18 Combine like terms: 0 + 18 = 18 x = 18 Add '-1x' to each side of the equation. x + -1x = 18 + -1x Combine like terms: x + -1x = 0 0 = 18 + -1x Simplifying 0 = 18 + -1x 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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