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Simplifying (4x2 + 5x + -3) + -1(4x2 + -3x + 4) = 49 Reorder the terms: (-3 + 5x + 4x2) + -1(4x2 + -3x + 4) = 49 Remove parenthesis around (-3 + 5x + 4x2) -3 + 5x + 4x2 + -1(4x2 + -3x + 4) = 49 Reorder the terms: -3 + 5x + 4x2 + -1(4 + -3x + 4x2) = 49 -3 + 5x + 4x2 + (4 * -1 + -3x * -1 + 4x2 * -1) = 49 -3 + 5x + 4x2 + (-4 + 3x + -4x2) = 49 Reorder the terms: -3 + -4 + 5x + 3x + 4x2 + -4x2 = 49 Combine like terms: -3 + -4 = -7 -7 + 5x + 3x + 4x2 + -4x2 = 49 Combine like terms: 5x + 3x = 8x -7 + 8x + 4x2 + -4x2 = 49 Combine like terms: 4x2 + -4x2 = 0 -7 + 8x + 0 = 49 -7 + 8x = 49 Solving -7 + 8x = 49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 8x = 49 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = 49 + 7 8x = 49 + 7 Combine like terms: 49 + 7 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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