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Simplifying -11 = 7x + 2(-6x + 17) Reorder the terms: -11 = 7x + 2(17 + -6x) -11 = 7x + (17 * 2 + -6x * 2) -11 = 7x + (34 + -12x) Reorder the terms: -11 = 34 + 7x + -12x Combine like terms: 7x + -12x = -5x -11 = 34 + -5x Solving -11 = 34 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -11 + 5x = 34 + -5x + 5x Combine like terms: -5x + 5x = 0 -11 + 5x = 34 + 0 -11 + 5x = 34 Add '11' to each side of the equation. -11 + 11 + 5x = 34 + 11 Combine like terms: -11 + 11 = 0 0 + 5x = 34 + 11 5x = 34 + 11 Combine like terms: 34 + 11 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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