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Simplifying (-2(x2 + 7) + -5x) + (2x2 + -3(-3x + -5)) = 0 Reorder the terms: (-2(7 + x2) + -5x) + (2x2 + -3(-3x + -5)) = 0 ((7 * -2 + x2 * -2) + -5x) + (2x2 + -3(-3x + -5)) = 0 ((-14 + -2x2) + -5x) + (2x2 + -3(-3x + -5)) = 0 Reorder the terms: (-14 + -5x + -2x2) + (2x2 + -3(-3x + -5)) = 0 Remove parenthesis around (-14 + -5x + -2x2) -14 + -5x + -2x2 + (2x2 + -3(-3x + -5)) = 0 Reorder the terms: -14 + -5x + -2x2 + (2x2 + -3(-5 + -3x)) = 0 -14 + -5x + -2x2 + (2x2 + (-5 * -3 + -3x * -3)) = 0 -14 + -5x + -2x2 + (2x2 + (15 + 9x)) = 0 Reorder the terms: -14 + -5x + -2x2 + (15 + 9x + 2x2) = 0 Remove parenthesis around (15 + 9x + 2x2) -14 + -5x + -2x2 + 15 + 9x + 2x2 = 0 Reorder the terms: -14 + 15 + -5x + 9x + -2x2 + 2x2 = 0 Combine like terms: -14 + 15 = 1 1 + -5x + 9x + -2x2 + 2x2 = 0 Combine like terms: -5x + 9x = 4x 1 + 4x + -2x2 + 2x2 = 0 Combine like terms: -2x2 + 2x2 = 0 1 + 4x + 0 = 0 1 + 4x = 0 Solving 1 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 0 + -1 4x = 0 + -1 Combine like terms: 0 + -1 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25
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