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Simplifying 5(2x + 1) + 5 = 5(x + -2) Reorder the terms: 5(1 + 2x) + 5 = 5(x + -2) (1 * 5 + 2x * 5) + 5 = 5(x + -2) (5 + 10x) + 5 = 5(x + -2) Reorder the terms: 5 + 5 + 10x = 5(x + -2) Combine like terms: 5 + 5 = 10 10 + 10x = 5(x + -2) Reorder the terms: 10 + 10x = 5(-2 + x) 10 + 10x = (-2 * 5 + x * 5) 10 + 10x = (-10 + 5x) Solving 10 + 10x = -10 + 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. 10 + 10x + -5x = -10 + 5x + -5x Combine like terms: 10x + -5x = 5x 10 + 5x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + 5x = -10 + 0 10 + 5x = -10 Add '-10' to each side of the equation. 10 + -10 + 5x = -10 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = -10 + -10 5x = -10 + -10 Combine like terms: -10 + -10 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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