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Simplifying 3(x + -4) + 7(5x + 1) = 0 Reorder the terms: 3(-4 + x) + 7(5x + 1) = 0 (-4 * 3 + x * 3) + 7(5x + 1) = 0 (-12 + 3x) + 7(5x + 1) = 0 Reorder the terms: -12 + 3x + 7(1 + 5x) = 0 -12 + 3x + (1 * 7 + 5x * 7) = 0 -12 + 3x + (7 + 35x) = 0 Reorder the terms: -12 + 7 + 3x + 35x = 0 Combine like terms: -12 + 7 = -5 -5 + 3x + 35x = 0 Combine like terms: 3x + 35x = 38x -5 + 38x = 0 Solving -5 + 38x = 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 + 38x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 38x = 0 + 5 38x = 0 + 5 Combine like terms: 0 + 5 = 5 38x = 5 Divide each side by '38'. x = 0.1315789474 Simplifying x = 0.1315789474
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