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Simplifying 2(9x + 11) = 2(4x + 6) Reorder the terms: 2(11 + 9x) = 2(4x + 6) (11 * 2 + 9x * 2) = 2(4x + 6) (22 + 18x) = 2(4x + 6) Reorder the terms: 22 + 18x = 2(6 + 4x) 22 + 18x = (6 * 2 + 4x * 2) 22 + 18x = (12 + 8x) Solving 22 + 18x = 12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 22 + 18x + -8x = 12 + 8x + -8x Combine like terms: 18x + -8x = 10x 22 + 10x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 22 + 10x = 12 + 0 22 + 10x = 12 Add '-22' to each side of the equation. 22 + -22 + 10x = 12 + -22 Combine like terms: 22 + -22 = 0 0 + 10x = 12 + -22 10x = 12 + -22 Combine like terms: 12 + -22 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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