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Simplifying 5(x + 11) + 11x + -17 = 180 Reorder the terms: 5(11 + x) + 11x + -17 = 180 (11 * 5 + x * 5) + 11x + -17 = 180 (55 + 5x) + 11x + -17 = 180 Reorder the terms: 55 + -17 + 5x + 11x = 180 Combine like terms: 55 + -17 = 38 38 + 5x + 11x = 180 Combine like terms: 5x + 11x = 16x 38 + 16x = 180 Solving 38 + 16x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 16x = 180 + -38 Combine like terms: 38 + -38 = 0 0 + 16x = 180 + -38 16x = 180 + -38 Combine like terms: 180 + -38 = 142 16x = 142 Divide each side by '16'. x = 8.875 Simplifying x = 8.875
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