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Simplifying 4(3 + -5x) + -7(5 + -4x) = 0 (3 * 4 + -5x * 4) + -7(5 + -4x) = 0 (12 + -20x) + -7(5 + -4x) = 0 12 + -20x + (5 * -7 + -4x * -7) = 0 12 + -20x + (-35 + 28x) = 0 Reorder the terms: 12 + -35 + -20x + 28x = 0 Combine like terms: 12 + -35 = -23 -23 + -20x + 28x = 0 Combine like terms: -20x + 28x = 8x -23 + 8x = 0 Solving -23 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 8x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 8x = 0 + 23 8x = 0 + 23 Combine like terms: 0 + 23 = 23 8x = 23 Divide each side by '8'. x = 2.875 Simplifying x = 2.875
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