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Simplifying 7(4 + -4x) = -7(5x + -6) (4 * 7 + -4x * 7) = -7(5x + -6) (28 + -28x) = -7(5x + -6) Reorder the terms: 28 + -28x = -7(-6 + 5x) 28 + -28x = (-6 * -7 + 5x * -7) 28 + -28x = (42 + -35x) Solving 28 + -28x = 42 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. 28 + -28x + 35x = 42 + -35x + 35x Combine like terms: -28x + 35x = 7x 28 + 7x = 42 + -35x + 35x Combine like terms: -35x + 35x = 0 28 + 7x = 42 + 0 28 + 7x = 42 Add '-28' to each side of the equation. 28 + -28 + 7x = 42 + -28 Combine like terms: 28 + -28 = 0 0 + 7x = 42 + -28 7x = 42 + -28 Combine like terms: 42 + -28 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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