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Simplifying ((2x + 22) * 10) = ((x + 9) * 6) Reorder the terms: ((22 + 2x) * 10) = ((x + 9) * 6) Reorder the terms for easier multiplication: (10(22 + 2x)) = ((x + 9) * 6) ((22 * 10 + 2x * 10)) = ((x + 9) * 6) ((220 + 20x)) = ((x + 9) * 6) (220 + 20x) = ((x + 9) * 6) Remove parenthesis around (220 + 20x) 220 + 20x = ((x + 9) * 6) Reorder the terms: 220 + 20x = ((9 + x) * 6) Reorder the terms for easier multiplication: 220 + 20x = (6(9 + x)) 220 + 20x = ((9 * 6 + x * 6)) 220 + 20x = ((54 + 6x)) 220 + 20x = (54 + 6x) Remove parenthesis around (54 + 6x) 220 + 20x = 54 + 6x Solving 220 + 20x = 54 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 220 + 20x + -6x = 54 + 6x + -6x Combine like terms: 20x + -6x = 14x 220 + 14x = 54 + 6x + -6x Combine like terms: 6x + -6x = 0 220 + 14x = 54 + 0 220 + 14x = 54 Add '-220' to each side of the equation. 220 + -220 + 14x = 54 + -220 Combine like terms: 220 + -220 = 0 0 + 14x = 54 + -220 14x = 54 + -220 Combine like terms: 54 + -220 = -166 14x = -166 Divide each side by '14'. x = -11.85714286 Simplifying x = -11.85714286
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