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Simplifying x2 + -2x + 3x + -6 = x2 + 4x + 4 Reorder the terms: -6 + -2x + 3x + x2 = x2 + 4x + 4 Combine like terms: -2x + 3x = 1x -6 + 1x + x2 = x2 + 4x + 4 Reorder the terms: -6 + 1x + x2 = 4 + 4x + x2 Add '-1x2' to each side of the equation. -6 + 1x + x2 + -1x2 = 4 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + 1x + 0 = 4 + 4x + x2 + -1x2 -6 + 1x = 4 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + 1x = 4 + 4x + 0 -6 + 1x = 4 + 4x Solving -6 + 1x = 4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 1x + -4x = 4 + 4x + -4x Combine like terms: 1x + -4x = -3x -6 + -3x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -3x = 4 + 0 -6 + -3x = 4 Add '6' to each side of the equation. -6 + 6 + -3x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = 4 + 6 -3x = 4 + 6 Combine like terms: 4 + 6 = 10 -3x = 10 Divide each side by '-3'. x = -3.333333333 Simplifying x = -3.333333333
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