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Simplifying 5(7x + -5) = 2(4x + 1) Reorder the terms: 5(-5 + 7x) = 2(4x + 1) (-5 * 5 + 7x * 5) = 2(4x + 1) (-25 + 35x) = 2(4x + 1) Reorder the terms: -25 + 35x = 2(1 + 4x) -25 + 35x = (1 * 2 + 4x * 2) -25 + 35x = (2 + 8x) Solving -25 + 35x = 2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -25 + 35x + -8x = 2 + 8x + -8x Combine like terms: 35x + -8x = 27x -25 + 27x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 -25 + 27x = 2 + 0 -25 + 27x = 2 Add '25' to each side of the equation. -25 + 25 + 27x = 2 + 25 Combine like terms: -25 + 25 = 0 0 + 27x = 2 + 25 27x = 2 + 25 Combine like terms: 2 + 25 = 27 27x = 27 Divide each side by '27'. x = 1 Simplifying x = 1
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