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