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Simplifying 3(5x + 1) + 5(x + -2) = 0 Reorder the terms: 3(1 + 5x) + 5(x + -2) = 0 (1 * 3 + 5x * 3) + 5(x + -2) = 0 (3 + 15x) + 5(x + -2) = 0 Reorder the terms: 3 + 15x + 5(-2 + x) = 0 3 + 15x + (-2 * 5 + x * 5) = 0 3 + 15x + (-10 + 5x) = 0 Reorder the terms: 3 + -10 + 15x + 5x = 0 Combine like terms: 3 + -10 = -7 -7 + 15x + 5x = 0 Combine like terms: 15x + 5x = 20x -7 + 20x = 0 Solving -7 + 20x = 0 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 + 20x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 20x = 0 + 7 20x = 0 + 7 Combine like terms: 0 + 7 = 7 20x = 7 Divide each side by '20'. x = 0.35 Simplifying x = 0.35
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