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Simplifying -6(x + 4) + 3x + 6 = fx + 9 Reorder the terms: -6(4 + x) + 3x + 6 = fx + 9 (4 * -6 + x * -6) + 3x + 6 = fx + 9 (-24 + -6x) + 3x + 6 = fx + 9 Reorder the terms: -24 + 6 + -6x + 3x = fx + 9 Combine like terms: -24 + 6 = -18 -18 + -6x + 3x = fx + 9 Combine like terms: -6x + 3x = -3x -18 + -3x = fx + 9 Reorder the terms: -18 + -3x = 9 + fx Solving -18 + -3x = 9 + fx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1fx' to each side of the equation. -18 + -1fx + -3x = 9 + fx + -1fx Combine like terms: fx + -1fx = 0 -18 + -1fx + -3x = 9 + 0 -18 + -1fx + -3x = 9 Add '18' to each side of the equation. -18 + -1fx + 18 + -3x = 9 + 18 Reorder the terms: -18 + 18 + -1fx + -3x = 9 + 18 Combine like terms: -18 + 18 = 0 0 + -1fx + -3x = 9 + 18 -1fx + -3x = 9 + 18 Combine like terms: 9 + 18 = 27 -1fx + -3x = 27 Reorder the terms: -27 + -1fx + -3x = 27 + -27 Combine like terms: 27 + -27 = 0 -27 + -1fx + -3x = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(27 + fx + 3x) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(27 + fx + 3x)' equal to zero and attempt to solve: Simplifying 27 + fx + 3x = 0 Solving 27 + fx + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + fx + -27 + 3x = 0 + -27 Reorder the terms: 27 + -27 + fx + 3x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + fx + 3x = 0 + -27 fx + 3x = 0 + -27 Combine like terms: 0 + -27 = -27 fx + 3x = -27 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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