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Simplifying 2[3 + 2(5x + -1)] = 11x + 38 Reorder the terms: 2[3 + 2(-1 + 5x)] = 11x + 38 2[3 + (-1 * 2 + 5x * 2)] = 11x + 38 2[3 + (-2 + 10x)] = 11x + 38 Combine like terms: 3 + -2 = 1 2[1 + 10x] = 11x + 38 [1 * 2 + 10x * 2] = 11x + 38 [2 + 20x] = 11x + 38 Reorder the terms: 2 + 20x = 38 + 11x Solving 2 + 20x = 38 + 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. 2 + 20x + -11x = 38 + 11x + -11x Combine like terms: 20x + -11x = 9x 2 + 9x = 38 + 11x + -11x Combine like terms: 11x + -11x = 0 2 + 9x = 38 + 0 2 + 9x = 38 Add '-2' to each side of the equation. 2 + -2 + 9x = 38 + -2 Combine like terms: 2 + -2 = 0 0 + 9x = 38 + -2 9x = 38 + -2 Combine like terms: 38 + -2 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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