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Simplifying 5x + 9(3x + -13) = 2(11 + x) Reorder the terms: 5x + 9(-13 + 3x) = 2(11 + x) 5x + (-13 * 9 + 3x * 9) = 2(11 + x) 5x + (-117 + 27x) = 2(11 + x) Reorder the terms: -117 + 5x + 27x = 2(11 + x) Combine like terms: 5x + 27x = 32x -117 + 32x = 2(11 + x) -117 + 32x = (11 * 2 + x * 2) -117 + 32x = (22 + 2x) Solving -117 + 32x = 22 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -117 + 32x + -2x = 22 + 2x + -2x Combine like terms: 32x + -2x = 30x -117 + 30x = 22 + 2x + -2x Combine like terms: 2x + -2x = 0 -117 + 30x = 22 + 0 -117 + 30x = 22 Add '117' to each side of the equation. -117 + 117 + 30x = 22 + 117 Combine like terms: -117 + 117 = 0 0 + 30x = 22 + 117 30x = 22 + 117 Combine like terms: 22 + 117 = 139 30x = 139 Divide each side by '30'. x = 4.633333333 Simplifying x = 4.633333333
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