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Simplifying 5(2x + -1) + 7(4x + 2) = 0 Reorder the terms: 5(-1 + 2x) + 7(4x + 2) = 0 (-1 * 5 + 2x * 5) + 7(4x + 2) = 0 (-5 + 10x) + 7(4x + 2) = 0 Reorder the terms: -5 + 10x + 7(2 + 4x) = 0 -5 + 10x + (2 * 7 + 4x * 7) = 0 -5 + 10x + (14 + 28x) = 0 Reorder the terms: -5 + 14 + 10x + 28x = 0 Combine like terms: -5 + 14 = 9 9 + 10x + 28x = 0 Combine like terms: 10x + 28x = 38x 9 + 38x = 0 Solving 9 + 38x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 38x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 38x = 0 + -9 38x = 0 + -9 Combine like terms: 0 + -9 = -9 38x = -9 Divide each side by '38'. x = -0.2368421053 Simplifying x = -0.2368421053
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