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Simplifying (4x2 + 6x + 4) + -1(4x2 + 5) = 9x + 3 Reorder the terms: (4 + 6x + 4x2) + -1(4x2 + 5) = 9x + 3 Remove parenthesis around (4 + 6x + 4x2) 4 + 6x + 4x2 + -1(4x2 + 5) = 9x + 3 Reorder the terms: 4 + 6x + 4x2 + -1(5 + 4x2) = 9x + 3 4 + 6x + 4x2 + (5 * -1 + 4x2 * -1) = 9x + 3 4 + 6x + 4x2 + (-5 + -4x2) = 9x + 3 Reorder the terms: 4 + -5 + 6x + 4x2 + -4x2 = 9x + 3 Combine like terms: 4 + -5 = -1 -1 + 6x + 4x2 + -4x2 = 9x + 3 Combine like terms: 4x2 + -4x2 = 0 -1 + 6x + 0 = 9x + 3 -1 + 6x = 9x + 3 Reorder the terms: -1 + 6x = 3 + 9x Solving -1 + 6x = 3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -1 + 6x + -9x = 3 + 9x + -9x Combine like terms: 6x + -9x = -3x -1 + -3x = 3 + 9x + -9x Combine like terms: 9x + -9x = 0 -1 + -3x = 3 + 0 -1 + -3x = 3 Add '1' to each side of the equation. -1 + 1 + -3x = 3 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 3 + 1 -3x = 3 + 1 Combine like terms: 3 + 1 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333
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