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Simplifying 13(x + -4) + -3(x + -9) + -5(x + 4) = 0 Reorder the terms: 13(-4 + x) + -3(x + -9) + -5(x + 4) = 0 (-4 * 13 + x * 13) + -3(x + -9) + -5(x + 4) = 0 (-52 + 13x) + -3(x + -9) + -5(x + 4) = 0 Reorder the terms: -52 + 13x + -3(-9 + x) + -5(x + 4) = 0 -52 + 13x + (-9 * -3 + x * -3) + -5(x + 4) = 0 -52 + 13x + (27 + -3x) + -5(x + 4) = 0 Reorder the terms: -52 + 13x + 27 + -3x + -5(4 + x) = 0 -52 + 13x + 27 + -3x + (4 * -5 + x * -5) = 0 -52 + 13x + 27 + -3x + (-20 + -5x) = 0 Reorder the terms: -52 + 27 + -20 + 13x + -3x + -5x = 0 Combine like terms: -52 + 27 = -25 -25 + -20 + 13x + -3x + -5x = 0 Combine like terms: -25 + -20 = -45 -45 + 13x + -3x + -5x = 0 Combine like terms: 13x + -3x = 10x -45 + 10x + -5x = 0 Combine like terms: 10x + -5x = 5x -45 + 5x = 0 Solving -45 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 5x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 5x = 0 + 45 5x = 0 + 45 Combine like terms: 0 + 45 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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