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