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Simplifying 7(5x + 1) = 4x + -8x Reorder the terms: 7(1 + 5x) = 4x + -8x (1 * 7 + 5x * 7) = 4x + -8x (7 + 35x) = 4x + -8x Combine like terms: 4x + -8x = -4x 7 + 35x = -4x Solving 7 + 35x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 7 + 35x + 4x = -4x + 4x Combine like terms: 35x + 4x = 39x 7 + 39x = -4x + 4x Combine like terms: -4x + 4x = 0 7 + 39x = 0 Add '-7' to each side of the equation. 7 + -7 + 39x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 39x = 0 + -7 39x = 0 + -7 Combine like terms: 0 + -7 = -7 39x = -7 Divide each side by '39'. x = -0.1794871795 Simplifying x = -0.1794871795
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