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Simplifying 5(5x + 1) = 3x + -7x Reorder the terms: 5(1 + 5x) = 3x + -7x (1 * 5 + 5x * 5) = 3x + -7x (5 + 25x) = 3x + -7x Combine like terms: 3x + -7x = -4x 5 + 25x = -4x Solving 5 + 25x = -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. 5 + 25x + 4x = -4x + 4x Combine like terms: 25x + 4x = 29x 5 + 29x = -4x + 4x Combine like terms: -4x + 4x = 0 5 + 29x = 0 Add '-5' to each side of the equation. 5 + -5 + 29x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 29x = 0 + -5 29x = 0 + -5 Combine like terms: 0 + -5 = -5 29x = -5 Divide each side by '29'. x = -0.1724137931 Simplifying x = -0.1724137931
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