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Simplifying 6x2(2x + 3) + -5x(2x + 3) = 4(2x + 3) Reorder the terms: 6x2(3 + 2x) + -5x(2x + 3) = 4(2x + 3) (3 * 6x2 + 2x * 6x2) + -5x(2x + 3) = 4(2x + 3) (18x2 + 12x3) + -5x(2x + 3) = 4(2x + 3) Reorder the terms: 18x2 + 12x3 + -5x(3 + 2x) = 4(2x + 3) 18x2 + 12x3 + (3 * -5x + 2x * -5x) = 4(2x + 3) 18x2 + 12x3 + (-15x + -10x2) = 4(2x + 3) Reorder the terms: -15x + 18x2 + -10x2 + 12x3 = 4(2x + 3) Combine like terms: 18x2 + -10x2 = 8x2 -15x + 8x2 + 12x3 = 4(2x + 3) Reorder the terms: -15x + 8x2 + 12x3 = 4(3 + 2x) -15x + 8x2 + 12x3 = (3 * 4 + 2x * 4) -15x + 8x2 + 12x3 = (12 + 8x) Solving -15x + 8x2 + 12x3 = 12 + 8x Solving for variable 'x'. Reorder the terms: -12 + -15x + -8x + 8x2 + 12x3 = 12 + 8x + -12 + -8x Combine like terms: -15x + -8x = -23x -12 + -23x + 8x2 + 12x3 = 12 + 8x + -12 + -8x Reorder the terms: -12 + -23x + 8x2 + 12x3 = 12 + -12 + 8x + -8x Combine like terms: 12 + -12 = 0 -12 + -23x + 8x2 + 12x3 = 0 + 8x + -8x -12 + -23x + 8x2 + 12x3 = 8x + -8x Combine like terms: 8x + -8x = 0 -12 + -23x + 8x2 + 12x3 = 0 The solution to this equation could not be determined.
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