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Simplifying 5(1 + 7x) = 5 + -5x (1 * 5 + 7x * 5) = 5 + -5x (5 + 35x) = 5 + -5x Add '-5' to each side of the equation. 5 + -5 + 35x = 5 + -5 + -5x Combine like terms: 5 + -5 = 0 0 + 35x = 5 + -5 + -5x 35x = 5 + -5 + -5x Combine like terms: 5 + -5 = 0 35x = 0 + -5x 35x = -5x Solving 35x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 35x + 5x = -5x + 5x Combine like terms: 35x + 5x = 40x 40x = -5x + 5x Combine like terms: -5x + 5x = 0 40x = 0 Divide each side by '40'. x = 0.0 Simplifying x = 0.0
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