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Simplifying 2(x + 2) + 3(3x + 1) = 57 Reorder the terms: 2(2 + x) + 3(3x + 1) = 57 (2 * 2 + x * 2) + 3(3x + 1) = 57 (4 + 2x) + 3(3x + 1) = 57 Reorder the terms: 4 + 2x + 3(1 + 3x) = 57 4 + 2x + (1 * 3 + 3x * 3) = 57 4 + 2x + (3 + 9x) = 57 Reorder the terms: 4 + 3 + 2x + 9x = 57 Combine like terms: 4 + 3 = 7 7 + 2x + 9x = 57 Combine like terms: 2x + 9x = 11x 7 + 11x = 57 Solving 7 + 11x = 57 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 11x = 57 + -7 Combine like terms: 7 + -7 = 0 0 + 11x = 57 + -7 11x = 57 + -7 Combine like terms: 57 + -7 = 50 11x = 50 Divide each side by '11'. x = 4.545454545 Simplifying x = 4.545454545
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