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Simplifying 2(2x + 9) = -22(x + -5) Reorder the terms: 2(9 + 2x) = -22(x + -5) (9 * 2 + 2x * 2) = -22(x + -5) (18 + 4x) = -22(x + -5) Reorder the terms: 18 + 4x = -22(-5 + x) 18 + 4x = (-5 * -22 + x * -22) 18 + 4x = (110 + -22x) Solving 18 + 4x = 110 + -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. 18 + 4x + 22x = 110 + -22x + 22x Combine like terms: 4x + 22x = 26x 18 + 26x = 110 + -22x + 22x Combine like terms: -22x + 22x = 0 18 + 26x = 110 + 0 18 + 26x = 110 Add '-18' to each side of the equation. 18 + -18 + 26x = 110 + -18 Combine like terms: 18 + -18 = 0 0 + 26x = 110 + -18 26x = 110 + -18 Combine like terms: 110 + -18 = 92 26x = 92 Divide each side by '26'. x = 3.538461538 Simplifying x = 3.538461538
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