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Simplifying [2](4x + -2) = 7log[2](2x + 5) Reorder the terms: 2(-2 + 4x) = 7log[2](2x + 5) (-2 * 2 + 4x * 2) = 7log[2](2x + 5) (-4 + 8x) = 7log[2](2x + 5) Reorder the terms: -4 + 8x = 7glo * 2(5 + 2x) Reorder the terms for easier multiplication: -4 + 8x = 7 * 2glo(5 + 2x) Multiply 7 * 2 -4 + 8x = 14glo(5 + 2x) -4 + 8x = (5 * 14glo + 2x * 14glo) -4 + 8x = (70glo + 28glox) Solving -4 + 8x = 70glo + 28glox Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28glox' to each side of the equation. -4 + -28glox + 8x = 70glo + 28glox + -28glox Combine like terms: 28glox + -28glox = 0 -4 + -28glox + 8x = 70glo + 0 -4 + -28glox + 8x = 70glo Add '4' to each side of the equation. -4 + -28glox + 4 + 8x = 4 + 70glo Reorder the terms: -4 + 4 + -28glox + 8x = 4 + 70glo Combine like terms: -4 + 4 = 0 0 + -28glox + 8x = 4 + 70glo -28glox + 8x = 4 + 70glo Reorder the terms: -4 + -70glo + -28glox + 8x = 4 + 70glo + -4 + -70glo Reorder the terms: -4 + -70glo + -28glox + 8x = 4 + -4 + 70glo + -70glo Combine like terms: 4 + -4 = 0 -4 + -70glo + -28glox + 8x = 0 + 70glo + -70glo -4 + -70glo + -28glox + 8x = 70glo + -70glo Combine like terms: 70glo + -70glo = 0 -4 + -70glo + -28glox + 8x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + -35glo + -14glox + 4x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -35glo + -14glox + 4x)' equal to zero and attempt to solve: Simplifying -2 + -35glo + -14glox + 4x = 0 Solving -2 + -35glo + -14glox + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -35glo + -14glox + 2 + 4x = 0 + 2 Reorder the terms: -2 + 2 + -35glo + -14glox + 4x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -35glo + -14glox + 4x = 0 + 2 -35glo + -14glox + 4x = 0 + 2 Combine like terms: 0 + 2 = 2 -35glo + -14glox + 4x = 2 Add '35glo' to each side of the equation. -35glo + -14glox + 35glo + 4x = 2 + 35glo Reorder the terms: -35glo + 35glo + -14glox + 4x = 2 + 35glo Combine like terms: -35glo + 35glo = 0 0 + -14glox + 4x = 2 + 35glo -14glox + 4x = 2 + 35glo 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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