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Simplifying 3(x + 1) + 5(2x + -1) = 17 Reorder the terms: 3(1 + x) + 5(2x + -1) = 17 (1 * 3 + x * 3) + 5(2x + -1) = 17 (3 + 3x) + 5(2x + -1) = 17 Reorder the terms: 3 + 3x + 5(-1 + 2x) = 17 3 + 3x + (-1 * 5 + 2x * 5) = 17 3 + 3x + (-5 + 10x) = 17 Reorder the terms: 3 + -5 + 3x + 10x = 17 Combine like terms: 3 + -5 = -2 -2 + 3x + 10x = 17 Combine like terms: 3x + 10x = 13x -2 + 13x = 17 Solving -2 + 13x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 13x = 17 + 2 Combine like terms: -2 + 2 = 0 0 + 13x = 17 + 2 13x = 17 + 2 Combine like terms: 17 + 2 = 19 13x = 19 Divide each side by '13'. x = 1.461538462 Simplifying x = 1.461538462
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