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Simplifying 3(x + -2) + 5(x + -4) = 0 Reorder the terms: 3(-2 + x) + 5(x + -4) = 0 (-2 * 3 + x * 3) + 5(x + -4) = 0 (-6 + 3x) + 5(x + -4) = 0 Reorder the terms: -6 + 3x + 5(-4 + x) = 0 -6 + 3x + (-4 * 5 + x * 5) = 0 -6 + 3x + (-20 + 5x) = 0 Reorder the terms: -6 + -20 + 3x + 5x = 0 Combine like terms: -6 + -20 = -26 -26 + 3x + 5x = 0 Combine like terms: 3x + 5x = 8x -26 + 8x = 0 Solving -26 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 8x = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 8x = 0 + 26 8x = 0 + 26 Combine like terms: 0 + 26 = 26 8x = 26 Divide each side by '8'. x = 3.25 Simplifying x = 3.25
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