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Simplifying 9(x + -4) = -5(x + 1) + 46 Reorder the terms: 9(-4 + x) = -5(x + 1) + 46 (-4 * 9 + x * 9) = -5(x + 1) + 46 (-36 + 9x) = -5(x + 1) + 46 Reorder the terms: -36 + 9x = -5(1 + x) + 46 -36 + 9x = (1 * -5 + x * -5) + 46 -36 + 9x = (-5 + -5x) + 46 Reorder the terms: -36 + 9x = -5 + 46 + -5x Combine like terms: -5 + 46 = 41 -36 + 9x = 41 + -5x Solving -36 + 9x = 41 + -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 = 41 + -5x + 5x Combine like terms: 9x + 5x = 14x -36 + 14x = 41 + -5x + 5x Combine like terms: -5x + 5x = 0 -36 + 14x = 41 + 0 -36 + 14x = 41 Add '36' to each side of the equation. -36 + 36 + 14x = 41 + 36 Combine like terms: -36 + 36 = 0 0 + 14x = 41 + 36 14x = 41 + 36 Combine like terms: 41 + 36 = 77 14x = 77 Divide each side by '14'. x = 5.5 Simplifying x = 5.5
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