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Simplifying (5x2 + 7x + 1) + -1(5x2 + -3) = 9x + -9 Reorder the terms: (1 + 7x + 5x2) + -1(5x2 + -3) = 9x + -9 Remove parenthesis around (1 + 7x + 5x2) 1 + 7x + 5x2 + -1(5x2 + -3) = 9x + -9 Reorder the terms: 1 + 7x + 5x2 + -1(-3 + 5x2) = 9x + -9 1 + 7x + 5x2 + (-3 * -1 + 5x2 * -1) = 9x + -9 1 + 7x + 5x2 + (3 + -5x2) = 9x + -9 Reorder the terms: 1 + 3 + 7x + 5x2 + -5x2 = 9x + -9 Combine like terms: 1 + 3 = 4 4 + 7x + 5x2 + -5x2 = 9x + -9 Combine like terms: 5x2 + -5x2 = 0 4 + 7x + 0 = 9x + -9 4 + 7x = 9x + -9 Reorder the terms: 4 + 7x = -9 + 9x Solving 4 + 7x = -9 + 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. 4 + 7x + -9x = -9 + 9x + -9x Combine like terms: 7x + -9x = -2x 4 + -2x = -9 + 9x + -9x Combine like terms: 9x + -9x = 0 4 + -2x = -9 + 0 4 + -2x = -9 Add '-4' to each side of the equation. 4 + -4 + -2x = -9 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = -9 + -4 -2x = -9 + -4 Combine like terms: -9 + -4 = -13 -2x = -13 Divide each side by '-2'. x = 6.5 Simplifying x = 6.5
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