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Simplifying 3(5x + 1) + 5(3x + -1) = 3 Reorder the terms: 3(1 + 5x) + 5(3x + -1) = 3 (1 * 3 + 5x * 3) + 5(3x + -1) = 3 (3 + 15x) + 5(3x + -1) = 3 Reorder the terms: 3 + 15x + 5(-1 + 3x) = 3 3 + 15x + (-1 * 5 + 3x * 5) = 3 3 + 15x + (-5 + 15x) = 3 Reorder the terms: 3 + -5 + 15x + 15x = 3 Combine like terms: 3 + -5 = -2 -2 + 15x + 15x = 3 Combine like terms: 15x + 15x = 30x -2 + 30x = 3 Solving -2 + 30x = 3 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 + 30x = 3 + 2 Combine like terms: -2 + 2 = 0 0 + 30x = 3 + 2 30x = 3 + 2 Combine like terms: 3 + 2 = 5 30x = 5 Divide each side by '30'. x = 0.1666666667 Simplifying x = 0.1666666667
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