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Simplifying (4x2 + 6x + 3) + -1(4x2 + 2) = 3x + 1 Reorder the terms: (3 + 6x + 4x2) + -1(4x2 + 2) = 3x + 1 Remove parenthesis around (3 + 6x + 4x2) 3 + 6x + 4x2 + -1(4x2 + 2) = 3x + 1 Reorder the terms: 3 + 6x + 4x2 + -1(2 + 4x2) = 3x + 1 3 + 6x + 4x2 + (2 * -1 + 4x2 * -1) = 3x + 1 3 + 6x + 4x2 + (-2 + -4x2) = 3x + 1 Reorder the terms: 3 + -2 + 6x + 4x2 + -4x2 = 3x + 1 Combine like terms: 3 + -2 = 1 1 + 6x + 4x2 + -4x2 = 3x + 1 Combine like terms: 4x2 + -4x2 = 0 1 + 6x + 0 = 3x + 1 1 + 6x = 3x + 1 Reorder the terms: 1 + 6x = 1 + 3x Add '-1' to each side of the equation. 1 + -1 + 6x = 1 + -1 + 3x Combine like terms: 1 + -1 = 0 0 + 6x = 1 + -1 + 3x 6x = 1 + -1 + 3x Combine like terms: 1 + -1 = 0 6x = 0 + 3x 6x = 3x Solving 6x = 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. 6x + -3x = 3x + -3x Combine like terms: 6x + -3x = 3x 3x = 3x + -3x Combine like terms: 3x + -3x = 0 3x = 0 Divide each side by '3'. x = 0 Simplifying x = 0
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