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Simplifying 7(1 + -5x) = 7 + 4x (1 * 7 + -5x * 7) = 7 + 4x (7 + -35x) = 7 + 4x Add '-7' to each side of the equation. 7 + -7 + -35x = 7 + -7 + 4x Combine like terms: 7 + -7 = 0 0 + -35x = 7 + -7 + 4x -35x = 7 + -7 + 4x Combine like terms: 7 + -7 = 0 -35x = 0 + 4x -35x = 4x Solving -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. -35x + -4x = 4x + -4x Combine like terms: -35x + -4x = -39x -39x = 4x + -4x Combine like terms: 4x + -4x = 0 -39x = 0 Divide each side by '-39'. x = 0 Simplifying x = 0
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