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Simplifying 3(x + 2) = 11(26 + -1x) Reorder the terms: 3(2 + x) = 11(26 + -1x) (2 * 3 + x * 3) = 11(26 + -1x) (6 + 3x) = 11(26 + -1x) 6 + 3x = (26 * 11 + -1x * 11) 6 + 3x = (286 + -11x) Solving 6 + 3x = 286 + -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. 6 + 3x + 11x = 286 + -11x + 11x Combine like terms: 3x + 11x = 14x 6 + 14x = 286 + -11x + 11x Combine like terms: -11x + 11x = 0 6 + 14x = 286 + 0 6 + 14x = 286 Add '-6' to each side of the equation. 6 + -6 + 14x = 286 + -6 Combine like terms: 6 + -6 = 0 0 + 14x = 286 + -6 14x = 286 + -6 Combine like terms: 286 + -6 = 280 14x = 280 Divide each side by '14'. x = 20 Simplifying x = 20
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