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Simplifying (7x2 + -7x + -2) + -1(5x2 + 3) = 2x2 + 12 Reorder the terms: (-2 + -7x + 7x2) + -1(5x2 + 3) = 2x2 + 12 Remove parenthesis around (-2 + -7x + 7x2) -2 + -7x + 7x2 + -1(5x2 + 3) = 2x2 + 12 Reorder the terms: -2 + -7x + 7x2 + -1(3 + 5x2) = 2x2 + 12 -2 + -7x + 7x2 + (3 * -1 + 5x2 * -1) = 2x2 + 12 -2 + -7x + 7x2 + (-3 + -5x2) = 2x2 + 12 Reorder the terms: -2 + -3 + -7x + 7x2 + -5x2 = 2x2 + 12 Combine like terms: -2 + -3 = -5 -5 + -7x + 7x2 + -5x2 = 2x2 + 12 Combine like terms: 7x2 + -5x2 = 2x2 -5 + -7x + 2x2 = 2x2 + 12 Reorder the terms: -5 + -7x + 2x2 = 12 + 2x2 Add '-2x2' to each side of the equation. -5 + -7x + 2x2 + -2x2 = 12 + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -5 + -7x + 0 = 12 + 2x2 + -2x2 -5 + -7x = 12 + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -5 + -7x = 12 + 0 -5 + -7x = 12 Solving -5 + -7x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -7x = 12 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = 12 + 5 -7x = 12 + 5 Combine like terms: 12 + 5 = 17 -7x = 17 Divide each side by '-7'. x = -2.428571429 Simplifying x = -2.428571429
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