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Simplifying 10(2x + 1) = 3(5x + -5) Reorder the terms: 10(1 + 2x) = 3(5x + -5) (1 * 10 + 2x * 10) = 3(5x + -5) (10 + 20x) = 3(5x + -5) Reorder the terms: 10 + 20x = 3(-5 + 5x) 10 + 20x = (-5 * 3 + 5x * 3) 10 + 20x = (-15 + 15x) Solving 10 + 20x = -15 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 10 + 20x + -15x = -15 + 15x + -15x Combine like terms: 20x + -15x = 5x 10 + 5x = -15 + 15x + -15x Combine like terms: 15x + -15x = 0 10 + 5x = -15 + 0 10 + 5x = -15 Add '-10' to each side of the equation. 10 + -10 + 5x = -15 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = -15 + -10 5x = -15 + -10 Combine like terms: -15 + -10 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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