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Simplifying x2 + -3x + 1(x + -6) = x2 + 5x + 4(2 + -1x) Reorder the terms: x2 + -3x + 1(-6 + x) = x2 + 5x + 4(2 + -1x) x2 + -3x + (-6 * 1 + x * 1) = x2 + 5x + 4(2 + -1x) x2 + -3x + (-6 + 1x) = x2 + 5x + 4(2 + -1x) Reorder the terms: -6 + -3x + 1x + x2 = x2 + 5x + 4(2 + -1x) Combine like terms: -3x + 1x = -2x -6 + -2x + x2 = x2 + 5x + 4(2 + -1x) -6 + -2x + x2 = x2 + 5x + (2 * 4 + -1x * 4) -6 + -2x + x2 = x2 + 5x + (8 + -4x) Reorder the terms: -6 + -2x + x2 = 8 + 5x + -4x + x2 Combine like terms: 5x + -4x = 1x -6 + -2x + x2 = 8 + 1x + x2 Add '-1x2' to each side of the equation. -6 + -2x + x2 + -1x2 = 8 + 1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + -2x + 0 = 8 + 1x + x2 + -1x2 -6 + -2x = 8 + 1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + -2x = 8 + 1x + 0 -6 + -2x = 8 + 1x Solving -6 + -2x = 8 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + -2x + -1x = 8 + 1x + -1x Combine like terms: -2x + -1x = -3x -6 + -3x = 8 + 1x + -1x Combine like terms: 1x + -1x = 0 -6 + -3x = 8 + 0 -6 + -3x = 8 Add '6' to each side of the equation. -6 + 6 + -3x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = 8 + 6 -3x = 8 + 6 Combine like terms: 8 + 6 = 14 -3x = 14 Divide each side by '-3'. x = -4.666666667 Simplifying x = -4.666666667
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