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Simplifying 9x + -11 = 2(3x + 17) Reorder the terms: -11 + 9x = 2(3x + 17) Reorder the terms: -11 + 9x = 2(17 + 3x) -11 + 9x = (17 * 2 + 3x * 2) -11 + 9x = (34 + 6x) Solving -11 + 9x = 34 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -11 + 9x + -6x = 34 + 6x + -6x Combine like terms: 9x + -6x = 3x -11 + 3x = 34 + 6x + -6x Combine like terms: 6x + -6x = 0 -11 + 3x = 34 + 0 -11 + 3x = 34 Add '11' to each side of the equation. -11 + 11 + 3x = 34 + 11 Combine like terms: -11 + 11 = 0 0 + 3x = 34 + 11 3x = 34 + 11 Combine like terms: 34 + 11 = 45 3x = 45 Divide each side by '3'. x = 15 Simplifying x = 15
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