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Simplifying (-12 + 1x + x2) + -2(3x + -2) = x2 + -8x + 16 Remove parenthesis around (-12 + 1x + x2) -12 + 1x + x2 + -2(3x + -2) = x2 + -8x + 16 Reorder the terms: -12 + 1x + x2 + -2(-2 + 3x) = x2 + -8x + 16 -12 + 1x + x2 + (-2 * -2 + 3x * -2) = x2 + -8x + 16 -12 + 1x + x2 + (4 + -6x) = x2 + -8x + 16 Reorder the terms: -12 + 4 + 1x + -6x + x2 = x2 + -8x + 16 Combine like terms: -12 + 4 = -8 -8 + 1x + -6x + x2 = x2 + -8x + 16 Combine like terms: 1x + -6x = -5x -8 + -5x + x2 = x2 + -8x + 16 Reorder the terms: -8 + -5x + x2 = 16 + -8x + x2 Add '-1x2' to each side of the equation. -8 + -5x + x2 + -1x2 = 16 + -8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -8 + -5x + 0 = 16 + -8x + x2 + -1x2 -8 + -5x = 16 + -8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -8 + -5x = 16 + -8x + 0 -8 + -5x = 16 + -8x Solving -8 + -5x = 16 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -8 + -5x + 8x = 16 + -8x + 8x Combine like terms: -5x + 8x = 3x -8 + 3x = 16 + -8x + 8x Combine like terms: -8x + 8x = 0 -8 + 3x = 16 + 0 -8 + 3x = 16 Add '8' to each side of the equation. -8 + 8 + 3x = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 16 + 8 3x = 16 + 8 Combine like terms: 16 + 8 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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