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Simplifying (4x2 + 3x + 1) + -1(4x2 + -2) = 5x + -2 Reorder the terms: (1 + 3x + 4x2) + -1(4x2 + -2) = 5x + -2 Remove parenthesis around (1 + 3x + 4x2) 1 + 3x + 4x2 + -1(4x2 + -2) = 5x + -2 Reorder the terms: 1 + 3x + 4x2 + -1(-2 + 4x2) = 5x + -2 1 + 3x + 4x2 + (-2 * -1 + 4x2 * -1) = 5x + -2 1 + 3x + 4x2 + (2 + -4x2) = 5x + -2 Reorder the terms: 1 + 2 + 3x + 4x2 + -4x2 = 5x + -2 Combine like terms: 1 + 2 = 3 3 + 3x + 4x2 + -4x2 = 5x + -2 Combine like terms: 4x2 + -4x2 = 0 3 + 3x + 0 = 5x + -2 3 + 3x = 5x + -2 Reorder the terms: 3 + 3x = -2 + 5x Solving 3 + 3x = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 3 + 3x + -5x = -2 + 5x + -5x Combine like terms: 3x + -5x = -2x 3 + -2x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + -2x = -2 + 0 3 + -2x = -2 Add '-3' to each side of the equation. 3 + -3 + -2x = -2 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = -2 + -3 -2x = -2 + -3 Combine like terms: -2 + -3 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5
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