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Simplifying 2(3x + -5) = 3x + 17 Reorder the terms: 2(-5 + 3x) = 3x + 17 (-5 * 2 + 3x * 2) = 3x + 17 (-10 + 6x) = 3x + 17 Reorder the terms: -10 + 6x = 17 + 3x Solving -10 + 6x = 17 + 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. -10 + 6x + -3x = 17 + 3x + -3x Combine like terms: 6x + -3x = 3x -10 + 3x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 3x = 17 + 0 -10 + 3x = 17 Add '10' to each side of the equation. -10 + 10 + 3x = 17 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = 17 + 10 3x = 17 + 10 Combine like terms: 17 + 10 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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