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Simplifying (3x2 + 5x + 4) + -1(4x2 + -2x + 6) = -1x2 + 3x + -2 Reorder the terms: (4 + 5x + 3x2) + -1(4x2 + -2x + 6) = -1x2 + 3x + -2 Remove parenthesis around (4 + 5x + 3x2) 4 + 5x + 3x2 + -1(4x2 + -2x + 6) = -1x2 + 3x + -2 Reorder the terms: 4 + 5x + 3x2 + -1(6 + -2x + 4x2) = -1x2 + 3x + -2 4 + 5x + 3x2 + (6 * -1 + -2x * -1 + 4x2 * -1) = -1x2 + 3x + -2 4 + 5x + 3x2 + (-6 + 2x + -4x2) = -1x2 + 3x + -2 Reorder the terms: 4 + -6 + 5x + 2x + 3x2 + -4x2 = -1x2 + 3x + -2 Combine like terms: 4 + -6 = -2 -2 + 5x + 2x + 3x2 + -4x2 = -1x2 + 3x + -2 Combine like terms: 5x + 2x = 7x -2 + 7x + 3x2 + -4x2 = -1x2 + 3x + -2 Combine like terms: 3x2 + -4x2 = -1x2 -2 + 7x + -1x2 = -1x2 + 3x + -2 Reorder the terms: -2 + 7x + -1x2 = -2 + 3x + -1x2 Add '2' to each side of the equation. -2 + 7x + 2 + -1x2 = -2 + 3x + 2 + -1x2 Reorder the terms: -2 + 2 + 7x + -1x2 = -2 + 3x + 2 + -1x2 Combine like terms: -2 + 2 = 0 0 + 7x + -1x2 = -2 + 3x + 2 + -1x2 7x + -1x2 = -2 + 3x + 2 + -1x2 Reorder the terms: 7x + -1x2 = -2 + 2 + 3x + -1x2 Combine like terms: -2 + 2 = 0 7x + -1x2 = 0 + 3x + -1x2 7x + -1x2 = 3x + -1x2 Add 'x2' to each side of the equation. 7x + -1x2 + x2 = 3x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 7x + 0 = 3x + -1x2 + x2 7x = 3x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 7x = 3x + 0 7x = 3x Solving 7x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 7x + -3x = 3x + -3x Combine like terms: 7x + -3x = 4x 4x = 3x + -3x Combine like terms: 3x + -3x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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