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Simplifying (3x + 2) + -11 = (22 + -1x) * 11 Reorder the terms: (2 + 3x) + -11 = (22 + -1x) * 11 Remove parenthesis around (2 + 3x) 2 + 3x + -11 = (22 + -1x) * 11 Reorder the terms: 2 + -11 + 3x = (22 + -1x) * 11 Combine like terms: 2 + -11 = -9 -9 + 3x = (22 + -1x) * 11 Reorder the terms for easier multiplication: -9 + 3x = 11(22 + -1x) -9 + 3x = (22 * 11 + -1x * 11) -9 + 3x = (242 + -11x) Solving -9 + 3x = 242 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -9 + 3x + 11x = 242 + -11x + 11x Combine like terms: 3x + 11x = 14x -9 + 14x = 242 + -11x + 11x Combine like terms: -11x + 11x = 0 -9 + 14x = 242 + 0 -9 + 14x = 242 Add '9' to each side of the equation. -9 + 9 + 14x = 242 + 9 Combine like terms: -9 + 9 = 0 0 + 14x = 242 + 9 14x = 242 + 9 Combine like terms: 242 + 9 = 251 14x = 251 Divide each side by '14'. x = 17.92857143 Simplifying x = 17.92857143
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