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Simplifying 9(3x + -8) + x = 3(3x + 8) + 2 Reorder the terms: 9(-8 + 3x) + x = 3(3x + 8) + 2 (-8 * 9 + 3x * 9) + x = 3(3x + 8) + 2 (-72 + 27x) + x = 3(3x + 8) + 2 Combine like terms: 27x + x = 28x -72 + 28x = 3(3x + 8) + 2 Reorder the terms: -72 + 28x = 3(8 + 3x) + 2 -72 + 28x = (8 * 3 + 3x * 3) + 2 -72 + 28x = (24 + 9x) + 2 Reorder the terms: -72 + 28x = 24 + 2 + 9x Combine like terms: 24 + 2 = 26 -72 + 28x = 26 + 9x Solving -72 + 28x = 26 + 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. -72 + 28x + -9x = 26 + 9x + -9x Combine like terms: 28x + -9x = 19x -72 + 19x = 26 + 9x + -9x Combine like terms: 9x + -9x = 0 -72 + 19x = 26 + 0 -72 + 19x = 26 Add '72' to each side of the equation. -72 + 72 + 19x = 26 + 72 Combine like terms: -72 + 72 = 0 0 + 19x = 26 + 72 19x = 26 + 72 Combine like terms: 26 + 72 = 98 19x = 98 Divide each side by '19'. x = 5.157894737 Simplifying x = 5.157894737
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