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Simplifying 5(2x + 1) = 5(x + -5) Reorder the terms: 5(1 + 2x) = 5(x + -5) (1 * 5 + 2x * 5) = 5(x + -5) (5 + 10x) = 5(x + -5) Reorder the terms: 5 + 10x = 5(-5 + x) 5 + 10x = (-5 * 5 + x * 5) 5 + 10x = (-25 + 5x) Solving 5 + 10x = -25 + 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. 5 + 10x + -5x = -25 + 5x + -5x Combine like terms: 10x + -5x = 5x 5 + 5x = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + 5x = -25 + 0 5 + 5x = -25 Add '-5' to each side of the equation. 5 + -5 + 5x = -25 + -5 Combine like terms: 5 + -5 = 0 0 + 5x = -25 + -5 5x = -25 + -5 Combine like terms: -25 + -5 = -30 5x = -30 Divide each side by '5'. x = -6 Simplifying x = -6
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