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Simplifying (x2 + -2x + -35) + -1(x2 + -7x) = 0 Reorder the terms: (-35 + -2x + x2) + -1(x2 + -7x) = 0 Remove parenthesis around (-35 + -2x + x2) -35 + -2x + x2 + -1(x2 + -7x) = 0 Reorder the terms: -35 + -2x + x2 + -1(-7x + x2) = 0 -35 + -2x + x2 + (-7x * -1 + x2 * -1) = 0 -35 + -2x + x2 + (7x + -1x2) = 0 Reorder the terms: -35 + -2x + 7x + x2 + -1x2 = 0 Combine like terms: -2x + 7x = 5x -35 + 5x + x2 + -1x2 = 0 Combine like terms: x2 + -1x2 = 0 -35 + 5x + 0 = 0 -35 + 5x = 0 Solving -35 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 5x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 5x = 0 + 35 5x = 0 + 35 Combine like terms: 0 + 35 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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