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Simplifying 9(x + -8) + 5x = 38 + 3x Reorder the terms: 9(-8 + x) + 5x = 38 + 3x (-8 * 9 + x * 9) + 5x = 38 + 3x (-72 + 9x) + 5x = 38 + 3x Combine like terms: 9x + 5x = 14x -72 + 14x = 38 + 3x Solving -72 + 14x = 38 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -72 + 14x + -3x = 38 + 3x + -3x Combine like terms: 14x + -3x = 11x -72 + 11x = 38 + 3x + -3x Combine like terms: 3x + -3x = 0 -72 + 11x = 38 + 0 -72 + 11x = 38 Add '72' to each side of the equation. -72 + 72 + 11x = 38 + 72 Combine like terms: -72 + 72 = 0 0 + 11x = 38 + 72 11x = 38 + 72 Combine like terms: 38 + 72 = 110 11x = 110 Divide each side by '11'. x = 10 Simplifying x = 10
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