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Simplifying (x + 5) * 2 = 5(2x + 50) Reorder the terms: (5 + x) * 2 = 5(2x + 50) Reorder the terms for easier multiplication: 2(5 + x) = 5(2x + 50) (5 * 2 + x * 2) = 5(2x + 50) (10 + 2x) = 5(2x + 50) Reorder the terms: 10 + 2x = 5(50 + 2x) 10 + 2x = (50 * 5 + 2x * 5) 10 + 2x = (250 + 10x) Solving 10 + 2x = 250 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 10 + 2x + -10x = 250 + 10x + -10x Combine like terms: 2x + -10x = -8x 10 + -8x = 250 + 10x + -10x Combine like terms: 10x + -10x = 0 10 + -8x = 250 + 0 10 + -8x = 250 Add '-10' to each side of the equation. 10 + -10 + -8x = 250 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = 250 + -10 -8x = 250 + -10 Combine like terms: 250 + -10 = 240 -8x = 240 Divide each side by '-8'. x = -30 Simplifying x = -30
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