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Simplifying (10x + 7x + x2) + -3(4x + -3) = x2 + -10x + 25 Combine like terms: 10x + 7x = 17x (17x + x2) + -3(4x + -3) = x2 + -10x + 25 Remove parenthesis around (17x + x2) 17x + x2 + -3(4x + -3) = x2 + -10x + 25 Reorder the terms: 17x + x2 + -3(-3 + 4x) = x2 + -10x + 25 17x + x2 + (-3 * -3 + 4x * -3) = x2 + -10x + 25 17x + x2 + (9 + -12x) = x2 + -10x + 25 Reorder the terms: 9 + 17x + -12x + x2 = x2 + -10x + 25 Combine like terms: 17x + -12x = 5x 9 + 5x + x2 = x2 + -10x + 25 Reorder the terms: 9 + 5x + x2 = 25 + -10x + x2 Add '-1x2' to each side of the equation. 9 + 5x + x2 + -1x2 = 25 + -10x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 9 + 5x + 0 = 25 + -10x + x2 + -1x2 9 + 5x = 25 + -10x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 9 + 5x = 25 + -10x + 0 9 + 5x = 25 + -10x Solving 9 + 5x = 25 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 9 + 5x + 10x = 25 + -10x + 10x Combine like terms: 5x + 10x = 15x 9 + 15x = 25 + -10x + 10x Combine like terms: -10x + 10x = 0 9 + 15x = 25 + 0 9 + 15x = 25 Add '-9' to each side of the equation. 9 + -9 + 15x = 25 + -9 Combine like terms: 9 + -9 = 0 0 + 15x = 25 + -9 15x = 25 + -9 Combine like terms: 25 + -9 = 16 15x = 16 Divide each side by '15'. x = 1.066666667 Simplifying x = 1.066666667
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