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Simplifying 2log(4)(x + 1) + log(4)(x + -2) = 2 Reorder the terms: 2glo * 4(1 + x) + log(4)(x + -2) = 2 Reorder the terms for easier multiplication: 2 * 4glo(1 + x) + log(4)(x + -2) = 2 Multiply 2 * 4 8glo(1 + x) + log(4)(x + -2) = 2 (1 * 8glo + x * 8glo) + log(4)(x + -2) = 2 (8glo + 8glox) + log(4)(x + -2) = 2 Reorder the terms: 8glo + 8glox + glo * 4(-2 + x) = 2 Reorder the terms for easier multiplication: 8glo + 8glox + 4glo(-2 + x) = 2 8glo + 8glox + (-2 * 4glo + x * 4glo) = 2 8glo + 8glox + (-8glo + 4glox) = 2 Reorder the terms: 8glo + -8glo + 8glox + 4glox = 2 Combine like terms: 8glo + -8glo = 0 0 + 8glox + 4glox = 2 8glox + 4glox = 2 Combine like terms: 8glox + 4glox = 12glox 12glox = 2 Solving 12glox = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by '12lox'. g = 0.1666666667l-1o-1x-1 Simplifying g = 0.1666666667l-1o-1x-1
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