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Simplifying 2(3x + -11) = 17 + -7x Reorder the terms: 2(-11 + 3x) = 17 + -7x (-11 * 2 + 3x * 2) = 17 + -7x (-22 + 6x) = 17 + -7x Solving -22 + 6x = 17 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -22 + 6x + 7x = 17 + -7x + 7x Combine like terms: 6x + 7x = 13x -22 + 13x = 17 + -7x + 7x Combine like terms: -7x + 7x = 0 -22 + 13x = 17 + 0 -22 + 13x = 17 Add '22' to each side of the equation. -22 + 22 + 13x = 17 + 22 Combine like terms: -22 + 22 = 0 0 + 13x = 17 + 22 13x = 17 + 22 Combine like terms: 17 + 22 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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