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Simplifying -1(-1x + 4) + 2x + -3 + x2 = x2 + -4x + 14 Reorder the terms: -1(4 + -1x) + 2x + -3 + x2 = x2 + -4x + 14 (4 * -1 + -1x * -1) + 2x + -3 + x2 = x2 + -4x + 14 (-4 + 1x) + 2x + -3 + x2 = x2 + -4x + 14 Reorder the terms: -4 + -3 + 1x + 2x + x2 = x2 + -4x + 14 Combine like terms: -4 + -3 = -7 -7 + 1x + 2x + x2 = x2 + -4x + 14 Combine like terms: 1x + 2x = 3x -7 + 3x + x2 = x2 + -4x + 14 Reorder the terms: -7 + 3x + x2 = 14 + -4x + x2 Add '-1x2' to each side of the equation. -7 + 3x + x2 + -1x2 = 14 + -4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -7 + 3x + 0 = 14 + -4x + x2 + -1x2 -7 + 3x = 14 + -4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -7 + 3x = 14 + -4x + 0 -7 + 3x = 14 + -4x Solving -7 + 3x = 14 + -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. -7 + 3x + 4x = 14 + -4x + 4x Combine like terms: 3x + 4x = 7x -7 + 7x = 14 + -4x + 4x Combine like terms: -4x + 4x = 0 -7 + 7x = 14 + 0 -7 + 7x = 14 Add '7' to each side of the equation. -7 + 7 + 7x = 14 + 7 Combine like terms: -7 + 7 = 0 0 + 7x = 14 + 7 7x = 14 + 7 Combine like terms: 14 + 7 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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