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Simplifying 5(x + -4) = -9(x + 3) + 41 Reorder the terms: 5(-4 + x) = -9(x + 3) + 41 (-4 * 5 + x * 5) = -9(x + 3) + 41 (-20 + 5x) = -9(x + 3) + 41 Reorder the terms: -20 + 5x = -9(3 + x) + 41 -20 + 5x = (3 * -9 + x * -9) + 41 -20 + 5x = (-27 + -9x) + 41 Reorder the terms: -20 + 5x = -27 + 41 + -9x Combine like terms: -27 + 41 = 14 -20 + 5x = 14 + -9x Solving -20 + 5x = 14 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -20 + 5x + 9x = 14 + -9x + 9x Combine like terms: 5x + 9x = 14x -20 + 14x = 14 + -9x + 9x Combine like terms: -9x + 9x = 0 -20 + 14x = 14 + 0 -20 + 14x = 14 Add '20' to each side of the equation. -20 + 20 + 14x = 14 + 20 Combine like terms: -20 + 20 = 0 0 + 14x = 14 + 20 14x = 14 + 20 Combine like terms: 14 + 20 = 34 14x = 34 Divide each side by '14'. x = 2.428571429 Simplifying x = 2.428571429
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