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Simplifying lg(x + 2)(2x + 7) + -6 = -4 Reorder the terms: gl(2 + x)(2x + 7) + -6 = -4 Reorder the terms: gl(2 + x)(7 + 2x) + -6 = -4 Multiply (2 + x) * (7 + 2x) gl(2(7 + 2x) + x(7 + 2x)) + -6 = -4 gl((7 * 2 + 2x * 2) + x(7 + 2x)) + -6 = -4 gl((14 + 4x) + x(7 + 2x)) + -6 = -4 gl(14 + 4x + (7 * x + 2x * x)) + -6 = -4 gl(14 + 4x + (7x + 2x2)) + -6 = -4 Combine like terms: 4x + 7x = 11x gl(14 + 11x + 2x2) + -6 = -4 (14 * gl + 11x * gl + 2x2 * gl) + -6 = -4 (14gl + 11glx + 2glx2) + -6 = -4 Reorder the terms: -6 + 14gl + 11glx + 2glx2 = -4 Solving -6 + 14gl + 11glx + 2glx2 = -4 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 14gl + 11glx + 6 + 2glx2 = -4 + 6 Reorder the terms: -6 + 6 + 14gl + 11glx + 2glx2 = -4 + 6 Combine like terms: -6 + 6 = 0 0 + 14gl + 11glx + 2glx2 = -4 + 6 14gl + 11glx + 2glx2 = -4 + 6 Combine like terms: -4 + 6 = 2 14gl + 11glx + 2glx2 = 2 Reorder the terms: -2 + 14gl + 11glx + 2glx2 = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 14gl + 11glx + 2glx2 = 0 The solution to this equation could not be determined.
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