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Simplifying 35(x + -1) = 7(5 + -1x) + 28x Reorder the terms: 35(-1 + x) = 7(5 + -1x) + 28x (-1 * 35 + x * 35) = 7(5 + -1x) + 28x (-35 + 35x) = 7(5 + -1x) + 28x -35 + 35x = (5 * 7 + -1x * 7) + 28x -35 + 35x = (35 + -7x) + 28x Combine like terms: -7x + 28x = 21x -35 + 35x = 35 + 21x Solving -35 + 35x = 35 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -35 + 35x + -21x = 35 + 21x + -21x Combine like terms: 35x + -21x = 14x -35 + 14x = 35 + 21x + -21x Combine like terms: 21x + -21x = 0 -35 + 14x = 35 + 0 -35 + 14x = 35 Add '35' to each side of the equation. -35 + 35 + 14x = 35 + 35 Combine like terms: -35 + 35 = 0 0 + 14x = 35 + 35 14x = 35 + 35 Combine like terms: 35 + 35 = 70 14x = 70 Divide each side by '14'. x = 5 Simplifying x = 5
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