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Simplifying 5(x + 4) + -7(5 + -1x) = 0 Reorder the terms: 5(4 + x) + -7(5 + -1x) = 0 (4 * 5 + x * 5) + -7(5 + -1x) = 0 (20 + 5x) + -7(5 + -1x) = 0 20 + 5x + (5 * -7 + -1x * -7) = 0 20 + 5x + (-35 + 7x) = 0 Reorder the terms: 20 + -35 + 5x + 7x = 0 Combine like terms: 20 + -35 = -15 -15 + 5x + 7x = 0 Combine like terms: 5x + 7x = 12x -15 + 12x = 0 Solving -15 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 12x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 12x = 0 + 15 12x = 0 + 15 Combine like terms: 0 + 15 = 15 12x = 15 Divide each side by '12'. x = 1.25 Simplifying x = 1.25
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