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Simplifying -2(2x + 9) + -11 = 2(5x + 6) Reorder the terms: -2(9 + 2x) + -11 = 2(5x + 6) (9 * -2 + 2x * -2) + -11 = 2(5x + 6) (-18 + -4x) + -11 = 2(5x + 6) Reorder the terms: -18 + -11 + -4x = 2(5x + 6) Combine like terms: -18 + -11 = -29 -29 + -4x = 2(5x + 6) Reorder the terms: -29 + -4x = 2(6 + 5x) -29 + -4x = (6 * 2 + 5x * 2) -29 + -4x = (12 + 10x) Solving -29 + -4x = 12 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -29 + -4x + -10x = 12 + 10x + -10x Combine like terms: -4x + -10x = -14x -29 + -14x = 12 + 10x + -10x Combine like terms: 10x + -10x = 0 -29 + -14x = 12 + 0 -29 + -14x = 12 Add '29' to each side of the equation. -29 + 29 + -14x = 12 + 29 Combine like terms: -29 + 29 = 0 0 + -14x = 12 + 29 -14x = 12 + 29 Combine like terms: 12 + 29 = 41 -14x = 41 Divide each side by '-14'. x = -2.928571429 Simplifying x = -2.928571429
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