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Simplifying (5x2 + 7x + 4) + -1(5x2 + 5) = 9x + 16 Reorder the terms: (4 + 7x + 5x2) + -1(5x2 + 5) = 9x + 16 Remove parenthesis around (4 + 7x + 5x2) 4 + 7x + 5x2 + -1(5x2 + 5) = 9x + 16 Reorder the terms: 4 + 7x + 5x2 + -1(5 + 5x2) = 9x + 16 4 + 7x + 5x2 + (5 * -1 + 5x2 * -1) = 9x + 16 4 + 7x + 5x2 + (-5 + -5x2) = 9x + 16 Reorder the terms: 4 + -5 + 7x + 5x2 + -5x2 = 9x + 16 Combine like terms: 4 + -5 = -1 -1 + 7x + 5x2 + -5x2 = 9x + 16 Combine like terms: 5x2 + -5x2 = 0 -1 + 7x + 0 = 9x + 16 -1 + 7x = 9x + 16 Reorder the terms: -1 + 7x = 16 + 9x Solving -1 + 7x = 16 + 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. -1 + 7x + -9x = 16 + 9x + -9x Combine like terms: 7x + -9x = -2x -1 + -2x = 16 + 9x + -9x Combine like terms: 9x + -9x = 0 -1 + -2x = 16 + 0 -1 + -2x = 16 Add '1' to each side of the equation. -1 + 1 + -2x = 16 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 16 + 1 -2x = 16 + 1 Combine like terms: 16 + 1 = 17 -2x = 17 Divide each side by '-2'. x = -8.5 Simplifying x = -8.5
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