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Simplifying 5(5x + -44) = 3(x + 66) Reorder the terms: 5(-44 + 5x) = 3(x + 66) (-44 * 5 + 5x * 5) = 3(x + 66) (-220 + 25x) = 3(x + 66) Reorder the terms: -220 + 25x = 3(66 + x) -220 + 25x = (66 * 3 + x * 3) -220 + 25x = (198 + 3x) Solving -220 + 25x = 198 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -220 + 25x + -3x = 198 + 3x + -3x Combine like terms: 25x + -3x = 22x -220 + 22x = 198 + 3x + -3x Combine like terms: 3x + -3x = 0 -220 + 22x = 198 + 0 -220 + 22x = 198 Add '220' to each side of the equation. -220 + 220 + 22x = 198 + 220 Combine like terms: -220 + 220 = 0 0 + 22x = 198 + 220 22x = 198 + 220 Combine like terms: 198 + 220 = 418 22x = 418 Divide each side by '22'. x = 19 Simplifying x = 19
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