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Simplifying 5(2x + 3) + 11 = 2(x + 9) * 11 Reorder the terms: 5(3 + 2x) + 11 = 2(x + 9) * 11 (3 * 5 + 2x * 5) + 11 = 2(x + 9) * 11 (15 + 10x) + 11 = 2(x + 9) * 11 Reorder the terms: 15 + 11 + 10x = 2(x + 9) * 11 Combine like terms: 15 + 11 = 26 26 + 10x = 2(x + 9) * 11 Reorder the terms: 26 + 10x = 2(9 + x) * 11 Reorder the terms for easier multiplication: 26 + 10x = 2 * 11(9 + x) Multiply 2 * 11 26 + 10x = 22(9 + x) 26 + 10x = (9 * 22 + x * 22) 26 + 10x = (198 + 22x) Solving 26 + 10x = 198 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 26 + 10x + -22x = 198 + 22x + -22x Combine like terms: 10x + -22x = -12x 26 + -12x = 198 + 22x + -22x Combine like terms: 22x + -22x = 0 26 + -12x = 198 + 0 26 + -12x = 198 Add '-26' to each side of the equation. 26 + -26 + -12x = 198 + -26 Combine like terms: 26 + -26 = 0 0 + -12x = 198 + -26 -12x = 198 + -26 Combine like terms: 198 + -26 = 172 -12x = 172 Divide each side by '-12'. x = -14.33333333 Simplifying x = -14.33333333
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