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Simplifying 7(5x + -6) + 3(2x + 4) = 0 Reorder the terms: 7(-6 + 5x) + 3(2x + 4) = 0 (-6 * 7 + 5x * 7) + 3(2x + 4) = 0 (-42 + 35x) + 3(2x + 4) = 0 Reorder the terms: -42 + 35x + 3(4 + 2x) = 0 -42 + 35x + (4 * 3 + 2x * 3) = 0 -42 + 35x + (12 + 6x) = 0 Reorder the terms: -42 + 12 + 35x + 6x = 0 Combine like terms: -42 + 12 = -30 -30 + 35x + 6x = 0 Combine like terms: 35x + 6x = 41x -30 + 41x = 0 Solving -30 + 41x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 41x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 41x = 0 + 30 41x = 0 + 30 Combine like terms: 0 + 30 = 30 41x = 30 Divide each side by '41'. x = 0.7317073171 Simplifying x = 0.7317073171
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