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Simplifying 9(x + -4) = -5(x + 3) + 41 Reorder the terms: 9(-4 + x) = -5(x + 3) + 41 (-4 * 9 + x * 9) = -5(x + 3) + 41 (-36 + 9x) = -5(x + 3) + 41 Reorder the terms: -36 + 9x = -5(3 + x) + 41 -36 + 9x = (3 * -5 + x * -5) + 41 -36 + 9x = (-15 + -5x) + 41 Reorder the terms: -36 + 9x = -15 + 41 + -5x Combine like terms: -15 + 41 = 26 -36 + 9x = 26 + -5x Solving -36 + 9x = 26 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -36 + 9x + 5x = 26 + -5x + 5x Combine like terms: 9x + 5x = 14x -36 + 14x = 26 + -5x + 5x Combine like terms: -5x + 5x = 0 -36 + 14x = 26 + 0 -36 + 14x = 26 Add '36' to each side of the equation. -36 + 36 + 14x = 26 + 36 Combine like terms: -36 + 36 = 0 0 + 14x = 26 + 36 14x = 26 + 36 Combine like terms: 26 + 36 = 62 14x = 62 Divide each side by '14'. x = 4.428571429 Simplifying x = 4.428571429
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