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Simplifying g(2x + 10) = 2x + 6 Reorder the terms: g(10 + 2x) = 2x + 6 (10 * g + 2x * g) = 2x + 6 (10g + 2gx) = 2x + 6 Reorder the terms: 10g + 2gx = 6 + 2x Solving 10g + 2gx = 6 + 2x Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -6 + 10g + 2gx + -2x = 6 + 2x + -6 + -2x Reorder the terms: -6 + 10g + 2gx + -2x = 6 + -6 + 2x + -2x Combine like terms: 6 + -6 = 0 -6 + 10g + 2gx + -2x = 0 + 2x + -2x -6 + 10g + 2gx + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 10g + 2gx + -2x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-3 + 5g + gx + -1x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + 5g + gx + -1x)' equal to zero and attempt to solve: Simplifying -3 + 5g + gx + -1x = 0 Solving -3 + 5g + gx + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 5g + gx + 3 + -1x = 0 + 3 Reorder the terms: -3 + 3 + 5g + gx + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5g + gx + -1x = 0 + 3 5g + gx + -1x = 0 + 3 Combine like terms: 0 + 3 = 3 5g + gx + -1x = 3 Add 'x' to each side of the equation. 5g + gx + -1x + x = 3 + x Combine like terms: -1x + x = 0 5g + gx + 0 = 3 + x 5g + gx = 3 + x 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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