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Simplifying (7x2 + 3x + -1) + -1(7x2 + 8) = 12 Reorder the terms: (-1 + 3x + 7x2) + -1(7x2 + 8) = 12 Remove parenthesis around (-1 + 3x + 7x2) -1 + 3x + 7x2 + -1(7x2 + 8) = 12 Reorder the terms: -1 + 3x + 7x2 + -1(8 + 7x2) = 12 -1 + 3x + 7x2 + (8 * -1 + 7x2 * -1) = 12 -1 + 3x + 7x2 + (-8 + -7x2) = 12 Reorder the terms: -1 + -8 + 3x + 7x2 + -7x2 = 12 Combine like terms: -1 + -8 = -9 -9 + 3x + 7x2 + -7x2 = 12 Combine like terms: 7x2 + -7x2 = 0 -9 + 3x + 0 = 12 -9 + 3x = 12 Solving -9 + 3x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 3x = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = 12 + 9 3x = 12 + 9 Combine like terms: 12 + 9 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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