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Simplifying 3(5x + 1) + 4(x + -2) = 0 Reorder the terms: 3(1 + 5x) + 4(x + -2) = 0 (1 * 3 + 5x * 3) + 4(x + -2) = 0 (3 + 15x) + 4(x + -2) = 0 Reorder the terms: 3 + 15x + 4(-2 + x) = 0 3 + 15x + (-2 * 4 + x * 4) = 0 3 + 15x + (-8 + 4x) = 0 Reorder the terms: 3 + -8 + 15x + 4x = 0 Combine like terms: 3 + -8 = -5 -5 + 15x + 4x = 0 Combine like terms: 15x + 4x = 19x -5 + 19x = 0 Solving -5 + 19x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 19x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 19x = 0 + 5 19x = 0 + 5 Combine like terms: 0 + 5 = 5 19x = 5 Divide each side by '19'. x = 0.2631578947 Simplifying x = 0.2631578947
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