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Simplifying 5(5 + -7x) = 5(4x + 6) (5 * 5 + -7x * 5) = 5(4x + 6) (25 + -35x) = 5(4x + 6) Reorder the terms: 25 + -35x = 5(6 + 4x) 25 + -35x = (6 * 5 + 4x * 5) 25 + -35x = (30 + 20x) Solving 25 + -35x = 30 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 25 + -35x + -20x = 30 + 20x + -20x Combine like terms: -35x + -20x = -55x 25 + -55x = 30 + 20x + -20x Combine like terms: 20x + -20x = 0 25 + -55x = 30 + 0 25 + -55x = 30 Add '-25' to each side of the equation. 25 + -25 + -55x = 30 + -25 Combine like terms: 25 + -25 = 0 0 + -55x = 30 + -25 -55x = 30 + -25 Combine like terms: 30 + -25 = 5 -55x = 5 Divide each side by '-55'. x = -0.09090909091 Simplifying x = -0.09090909091
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