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Simplifying -5(x + 3) + 2(x + -5) = 0 Reorder the terms: -5(3 + x) + 2(x + -5) = 0 (3 * -5 + x * -5) + 2(x + -5) = 0 (-15 + -5x) + 2(x + -5) = 0 Reorder the terms: -15 + -5x + 2(-5 + x) = 0 -15 + -5x + (-5 * 2 + x * 2) = 0 -15 + -5x + (-10 + 2x) = 0 Reorder the terms: -15 + -10 + -5x + 2x = 0 Combine like terms: -15 + -10 = -25 -25 + -5x + 2x = 0 Combine like terms: -5x + 2x = -3x -25 + -3x = 0 Solving -25 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -3x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -3x = 0 + 25 -3x = 0 + 25 Combine like terms: 0 + 25 = 25 -3x = 25 Divide each side by '-3'. x = -8.333333333 Simplifying x = -8.333333333
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