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Simplifying [2](4x + -2) = 7 + -1log[2](2x + 5) Reorder the terms: 2(-2 + 4x) = 7 + -1log[2](2x + 5) (-2 * 2 + 4x * 2) = 7 + -1log[2](2x + 5) (-4 + 8x) = 7 + -1log[2](2x + 5) Reorder the terms: -4 + 8x = 7 + -1glo * 2(5 + 2x) Reorder the terms for easier multiplication: -4 + 8x = 7 + -1 * 2glo(5 + 2x) Multiply -1 * 2 -4 + 8x = 7 + -2glo(5 + 2x) -4 + 8x = 7 + (5 * -2glo + 2x * -2glo) -4 + 8x = 7 + (-10glo + -4glox) Solving -4 + 8x = 7 + -10glo + -4glox Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4glox' to each side of the equation. -4 + 4glox + 8x = 7 + -10glo + -4glox + 4glox Combine like terms: -4glox + 4glox = 0 -4 + 4glox + 8x = 7 + -10glo + 0 -4 + 4glox + 8x = 7 + -10glo Add '4' to each side of the equation. -4 + 4glox + 4 + 8x = 7 + 4 + -10glo Reorder the terms: -4 + 4 + 4glox + 8x = 7 + 4 + -10glo Combine like terms: -4 + 4 = 0 0 + 4glox + 8x = 7 + 4 + -10glo 4glox + 8x = 7 + 4 + -10glo Combine like terms: 7 + 4 = 11 4glox + 8x = 11 + -10glo Reorder the terms: -11 + 10glo + 4glox + 8x = 11 + -10glo + -11 + 10glo Reorder the terms: -11 + 10glo + 4glox + 8x = 11 + -11 + -10glo + 10glo Combine like terms: 11 + -11 = 0 -11 + 10glo + 4glox + 8x = 0 + -10glo + 10glo -11 + 10glo + 4glox + 8x = -10glo + 10glo Combine like terms: -10glo + 10glo = 0 -11 + 10glo + 4glox + 8x = 0 The solution to this equation could not be determined.
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