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Simplifying log(7)(2x + -7) + log(7)(x + 1) = log(7)(4x + 4) Reorder the terms: glo * 7(-7 + 2x) + log(7)(x + 1) = log(7)(4x + 4) Reorder the terms for easier multiplication: 7glo(-7 + 2x) + log(7)(x + 1) = log(7)(4x + 4) (-7 * 7glo + 2x * 7glo) + log(7)(x + 1) = log(7)(4x + 4) (-49glo + 14glox) + log(7)(x + 1) = log(7)(4x + 4) Reorder the terms: -49glo + 14glox + glo * 7(1 + x) = log(7)(4x + 4) Reorder the terms for easier multiplication: -49glo + 14glox + 7glo(1 + x) = log(7)(4x + 4) -49glo + 14glox + (1 * 7glo + x * 7glo) = log(7)(4x + 4) -49glo + 14glox + (7glo + 7glox) = log(7)(4x + 4) Reorder the terms: -49glo + 7glo + 14glox + 7glox = log(7)(4x + 4) Combine like terms: -49glo + 7glo = -42glo -42glo + 14glox + 7glox = log(7)(4x + 4) Combine like terms: 14glox + 7glox = 21glox -42glo + 21glox = log(7)(4x + 4) Reorder the terms: -42glo + 21glox = glo * 7(4 + 4x) Reorder the terms for easier multiplication: -42glo + 21glox = 7glo(4 + 4x) -42glo + 21glox = (4 * 7glo + 4x * 7glo) -42glo + 21glox = (28glo + 28glox) Solving -42glo + 21glox = 28glo + 28glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-28glo' to each side of the equation. -42glo + -28glo + 21glox = 28glo + -28glo + 28glox Combine like terms: -42glo + -28glo = -70glo -70glo + 21glox = 28glo + -28glo + 28glox Combine like terms: 28glo + -28glo = 0 -70glo + 21glox = 0 + 28glox -70glo + 21glox = 28glox Add '-28glox' to each side of the equation. -70glo + 21glox + -28glox = 28glox + -28glox Combine like terms: 21glox + -28glox = -7glox -70glo + -7glox = 28glox + -28glox Combine like terms: 28glox + -28glox = 0 -70glo + -7glox = 0 Factor out the Greatest Common Factor (GCF), '-7glo'. -7glo(10 + x) = 0 Ignore the factor -7.Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 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 '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Add '-1x' to each side of the equation. x + -1x = -10 + -1x Combine like terms: x + -1x = 0 0 = -10 + -1x Simplifying 0 = -10 + -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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