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Simplifying 7(5x + -4) + -1(5 + 7x) = 0 Reorder the terms: 7(-4 + 5x) + -1(5 + 7x) = 0 (-4 * 7 + 5x * 7) + -1(5 + 7x) = 0 (-28 + 35x) + -1(5 + 7x) = 0 -28 + 35x + (5 * -1 + 7x * -1) = 0 -28 + 35x + (-5 + -7x) = 0 Reorder the terms: -28 + -5 + 35x + -7x = 0 Combine like terms: -28 + -5 = -33 -33 + 35x + -7x = 0 Combine like terms: 35x + -7x = 28x -33 + 28x = 0 Solving -33 + 28x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 28x = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 28x = 0 + 33 28x = 0 + 33 Combine like terms: 0 + 33 = 33 28x = 33 Divide each side by '28'. x = 1.178571429 Simplifying x = 1.178571429
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