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Simplifying 3(x + -5) + 8x = 9x + 2 Reorder the terms: 3(-5 + x) + 8x = 9x + 2 (-5 * 3 + x * 3) + 8x = 9x + 2 (-15 + 3x) + 8x = 9x + 2 Combine like terms: 3x + 8x = 11x -15 + 11x = 9x + 2 Reorder the terms: -15 + 11x = 2 + 9x Solving -15 + 11x = 2 + 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. -15 + 11x + -9x = 2 + 9x + -9x Combine like terms: 11x + -9x = 2x -15 + 2x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 -15 + 2x = 2 + 0 -15 + 2x = 2 Add '15' to each side of the equation. -15 + 15 + 2x = 2 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = 2 + 15 2x = 2 + 15 Combine like terms: 2 + 15 = 17 2x = 17 Divide each side by '2'. x = 8.5 Simplifying x = 8.5
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