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Simplifying 10(3x + 1) = 2(10x + -5) Reorder the terms: 10(1 + 3x) = 2(10x + -5) (1 * 10 + 3x * 10) = 2(10x + -5) (10 + 30x) = 2(10x + -5) Reorder the terms: 10 + 30x = 2(-5 + 10x) 10 + 30x = (-5 * 2 + 10x * 2) 10 + 30x = (-10 + 20x) Solving 10 + 30x = -10 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 10 + 30x + -20x = -10 + 20x + -20x Combine like terms: 30x + -20x = 10x 10 + 10x = -10 + 20x + -20x Combine like terms: 20x + -20x = 0 10 + 10x = -10 + 0 10 + 10x = -10 Add '-10' to each side of the equation. 10 + -10 + 10x = -10 + -10 Combine like terms: 10 + -10 = 0 0 + 10x = -10 + -10 10x = -10 + -10 Combine like terms: -10 + -10 = -20 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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