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Simplifying (5x3 + -7x2 + 4x + -2) + -1(10x3 + -10X2 + -4x + 10) = 0 Reorder the terms: (-2 + 4x + -7x2 + 5x3) + -1(10x3 + -10X2 + -4x + 10) = 0 Remove parenthesis around (-2 + 4x + -7x2 + 5x3) -2 + 4x + -7x2 + 5x3 + -1(10x3 + -10X2 + -4x + 10) = 0 Reorder the terms: -2 + 4x + -7x2 + 5x3 + -1(10 + -10X2 + -4x + 10x3) = 0 -2 + 4x + -7x2 + 5x3 + (10 * -1 + -10X2 * -1 + -4x * -1 + 10x3 * -1) = 0 -2 + 4x + -7x2 + 5x3 + (-10 + 10X2 + 4x + -10x3) = 0 Reorder the terms: -2 + -10 + 10X2 + 4x + 4x + -7x2 + 5x3 + -10x3 = 0 Combine like terms: -2 + -10 = -12 -12 + 10X2 + 4x + 4x + -7x2 + 5x3 + -10x3 = 0 Combine like terms: 4x + 4x = 8x -12 + 10X2 + 8x + -7x2 + 5x3 + -10x3 = 0 Combine like terms: 5x3 + -10x3 = -5x3 -12 + 10X2 + 8x + -7x2 + -5x3 = 0 Solving -12 + 10X2 + 8x + -7x2 + -5x3 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 10X2 + 8x + -7x2 + 12 + -5x3 = 0 + 12 Reorder the terms: -12 + 12 + 10X2 + 8x + -7x2 + -5x3 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 10X2 + 8x + -7x2 + -5x3 = 0 + 12 10X2 + 8x + -7x2 + -5x3 = 0 + 12 Combine like terms: 0 + 12 = 12 10X2 + 8x + -7x2 + -5x3 = 12 Add '-8x' to each side of the equation. 10X2 + 8x + -7x2 + -8x + -5x3 = 12 + -8x Reorder the terms: 10X2 + 8x + -8x + -7x2 + -5x3 = 12 + -8x Combine like terms: 8x + -8x = 0 10X2 + 0 + -7x2 + -5x3 = 12 + -8x 10X2 + -7x2 + -5x3 = 12 + -8x Add '7x2' to each side of the equation. 10X2 + -7x2 + 7x2 + -5x3 = 12 + -8x + 7x2 Combine like terms: -7x2 + 7x2 = 0 10X2 + 0 + -5x3 = 12 + -8x + 7x2 10X2 + -5x3 = 12 + -8x + 7x2 Add '5x3' to each side of the equation. 10X2 + -5x3 + 5x3 = 12 + -8x + 7x2 + 5x3 Combine like terms: -5x3 + 5x3 = 0 10X2 + 0 = 12 + -8x + 7x2 + 5x3 10X2 = 12 + -8x + 7x2 + 5x3 Divide each side by '10'. X2 = 1.2 + -0.8x + 0.7x2 + 0.5x3 Simplifying X2 = 1.2 + -0.8x + 0.7x2 + 0.5x3 Reorder the terms: -1.2 + X2 + 0.8x + -0.7x2 + -0.5x3 = 1.2 + -0.8x + 0.7x2 + 0.5x3 + -1.2 + 0.8x + -0.7x2 + -0.5x3 Reorder the terms: -1.2 + X2 + 0.8x + -0.7x2 + -0.5x3 = 1.2 + -1.2 + -0.8x + 0.8x + 0.7x2 + -0.7x2 + 0.5x3 + -0.5x3 Combine like terms: 1.2 + -1.2 = 0.0 -1.2 + X2 + 0.8x + -0.7x2 + -0.5x3 = 0.0 + -0.8x + 0.8x + 0.7x2 + -0.7x2 + 0.5x3 + -0.5x3 -1.2 + X2 + 0.8x + -0.7x2 + -0.5x3 = -0.8x + 0.8x + 0.7x2 + -0.7x2 + 0.5x3 + -0.5x3 Combine like terms: -0.8x + 0.8x = 0.0 -1.2 + X2 + 0.8x + -0.7x2 + -0.5x3 = 0.0 + 0.7x2 + -0.7x2 + 0.5x3 + -0.5x3 -1.2 + X2 + 0.8x + -0.7x2 + -0.5x3 = 0.7x2 + -0.7x2 + 0.5x3 + -0.5x3 Combine like terms: 0.7x2 + -0.7x2 = 0.0 -1.2 + X2 + 0.8x + -0.7x2 + -0.5x3 = 0.0 + 0.5x3 + -0.5x3 -1.2 + X2 + 0.8x + -0.7x2 + -0.5x3 = 0.5x3 + -0.5x3 Combine like terms: 0.5x3 + -0.5x3 = 0.0 -1.2 + X2 + 0.8x + -0.7x2 + -0.5x3 = 0.0 The solution to this equation could not be determined.
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