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