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Simplifying 9(13 + 10x) + 2 = -266 + 13x (13 * 9 + 10x * 9) + 2 = -266 + 13x (117 + 90x) + 2 = -266 + 13x Reorder the terms: 117 + 2 + 90x = -266 + 13x Combine like terms: 117 + 2 = 119 119 + 90x = -266 + 13x Solving 119 + 90x = -266 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 119 + 90x + -13x = -266 + 13x + -13x Combine like terms: 90x + -13x = 77x 119 + 77x = -266 + 13x + -13x Combine like terms: 13x + -13x = 0 119 + 77x = -266 + 0 119 + 77x = -266 Add '-119' to each side of the equation. 119 + -119 + 77x = -266 + -119 Combine like terms: 119 + -119 = 0 0 + 77x = -266 + -119 77x = -266 + -119 Combine like terms: -266 + -119 = -385 77x = -385 Divide each side by '77'. x = -5 Simplifying x = -5
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