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Simplifying (7x2 + 4x + 4) + -1(7x2 + 5) = 9x + 10 Reorder the terms: (4 + 4x + 7x2) + -1(7x2 + 5) = 9x + 10 Remove parenthesis around (4 + 4x + 7x2) 4 + 4x + 7x2 + -1(7x2 + 5) = 9x + 10 Reorder the terms: 4 + 4x + 7x2 + -1(5 + 7x2) = 9x + 10 4 + 4x + 7x2 + (5 * -1 + 7x2 * -1) = 9x + 10 4 + 4x + 7x2 + (-5 + -7x2) = 9x + 10 Reorder the terms: 4 + -5 + 4x + 7x2 + -7x2 = 9x + 10 Combine like terms: 4 + -5 = -1 -1 + 4x + 7x2 + -7x2 = 9x + 10 Combine like terms: 7x2 + -7x2 = 0 -1 + 4x + 0 = 9x + 10 -1 + 4x = 9x + 10 Reorder the terms: -1 + 4x = 10 + 9x Solving -1 + 4x = 10 + 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 + 4x + -9x = 10 + 9x + -9x Combine like terms: 4x + -9x = -5x -1 + -5x = 10 + 9x + -9x Combine like terms: 9x + -9x = 0 -1 + -5x = 10 + 0 -1 + -5x = 10 Add '1' to each side of the equation. -1 + 1 + -5x = 10 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 10 + 1 -5x = 10 + 1 Combine like terms: 10 + 1 = 11 -5x = 11 Divide each side by '-5'. x = -2.2 Simplifying x = -2.2
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