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Simplifying (x + 2)(x + 2) * 4(x + -3) = 7x + 12 Reorder the terms: (2 + x)(x + 2) * 4(x + -3) = 7x + 12 Reorder the terms: (2 + x)(2 + x) * 4(x + -3) = 7x + 12 Reorder the terms: (2 + x)(2 + x) * 4(-3 + x) = 7x + 12 Reorder the terms for easier multiplication: 4(2 + x)(2 + x)(-3 + x) = 7x + 12 Multiply (2 + x) * (2 + x) 4(2(2 + x) + x(2 + x))(-3 + x) = 7x + 12 4((2 * 2 + x * 2) + x(2 + x))(-3 + x) = 7x + 12 4((4 + 2x) + x(2 + x))(-3 + x) = 7x + 12 4(4 + 2x + (2 * x + x * x))(-3 + x) = 7x + 12 4(4 + 2x + (2x + x2))(-3 + x) = 7x + 12 Combine like terms: 2x + 2x = 4x 4(4 + 4x + x2)(-3 + x) = 7x + 12 Multiply (4 + 4x + x2) * (-3 + x) 4(4(-3 + x) + 4x * (-3 + x) + x2(-3 + x)) = 7x + 12 4((-3 * 4 + x * 4) + 4x * (-3 + x) + x2(-3 + x)) = 7x + 12 4((-12 + 4x) + 4x * (-3 + x) + x2(-3 + x)) = 7x + 12 4(-12 + 4x + (-3 * 4x + x * 4x) + x2(-3 + x)) = 7x + 12 4(-12 + 4x + (-12x + 4x2) + x2(-3 + x)) = 7x + 12 4(-12 + 4x + -12x + 4x2 + (-3 * x2 + x * x2)) = 7x + 12 4(-12 + 4x + -12x + 4x2 + (-3x2 + x3)) = 7x + 12 Combine like terms: 4x + -12x = -8x 4(-12 + -8x + 4x2 + -3x2 + x3) = 7x + 12 Combine like terms: 4x2 + -3x2 = 1x2 4(-12 + -8x + 1x2 + x3) = 7x + 12 (-12 * 4 + -8x * 4 + 1x2 * 4 + x3 * 4) = 7x + 12 (-48 + -32x + 4x2 + 4x3) = 7x + 12 Reorder the terms: -48 + -32x + 4x2 + 4x3 = 12 + 7x Solving -48 + -32x + 4x2 + 4x3 = 12 + 7x Solving for variable 'x'. Reorder the terms: -48 + -12 + -32x + -7x + 4x2 + 4x3 = 12 + 7x + -12 + -7x Combine like terms: -48 + -12 = -60 -60 + -32x + -7x + 4x2 + 4x3 = 12 + 7x + -12 + -7x Combine like terms: -32x + -7x = -39x -60 + -39x + 4x2 + 4x3 = 12 + 7x + -12 + -7x Reorder the terms: -60 + -39x + 4x2 + 4x3 = 12 + -12 + 7x + -7x Combine like terms: 12 + -12 = 0 -60 + -39x + 4x2 + 4x3 = 0 + 7x + -7x -60 + -39x + 4x2 + 4x3 = 7x + -7x Combine like terms: 7x + -7x = 0 -60 + -39x + 4x2 + 4x3 = 0 The solution to this equation could not be determined.
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