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Simplifying 7(5x + 1) = 5x + -7x Reorder the terms: 7(1 + 5x) = 5x + -7x (1 * 7 + 5x * 7) = 5x + -7x (7 + 35x) = 5x + -7x Combine like terms: 5x + -7x = -2x 7 + 35x = -2x Solving 7 + 35x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 7 + 35x + 2x = -2x + 2x Combine like terms: 35x + 2x = 37x 7 + 37x = -2x + 2x Combine like terms: -2x + 2x = 0 7 + 37x = 0 Add '-7' to each side of the equation. 7 + -7 + 37x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 37x = 0 + -7 37x = 0 + -7 Combine like terms: 0 + -7 = -7 37x = -7 Divide each side by '37'. x = -0.1891891892 Simplifying x = -0.1891891892
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