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Simplifying (7x2 + 5x + -3) + -1(7x2 + 5) = 27 Reorder the terms: (-3 + 5x + 7x2) + -1(7x2 + 5) = 27 Remove parenthesis around (-3 + 5x + 7x2) -3 + 5x + 7x2 + -1(7x2 + 5) = 27 Reorder the terms: -3 + 5x + 7x2 + -1(5 + 7x2) = 27 -3 + 5x + 7x2 + (5 * -1 + 7x2 * -1) = 27 -3 + 5x + 7x2 + (-5 + -7x2) = 27 Reorder the terms: -3 + -5 + 5x + 7x2 + -7x2 = 27 Combine like terms: -3 + -5 = -8 -8 + 5x + 7x2 + -7x2 = 27 Combine like terms: 7x2 + -7x2 = 0 -8 + 5x + 0 = 27 -8 + 5x = 27 Solving -8 + 5x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5x = 27 + 8 Combine like terms: -8 + 8 = 0 0 + 5x = 27 + 8 5x = 27 + 8 Combine like terms: 27 + 8 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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