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Simplifying 2(3x + 1) = 2(10x + -5) Reorder the terms: 2(1 + 3x) = 2(10x + -5) (1 * 2 + 3x * 2) = 2(10x + -5) (2 + 6x) = 2(10x + -5) Reorder the terms: 2 + 6x = 2(-5 + 10x) 2 + 6x = (-5 * 2 + 10x * 2) 2 + 6x = (-10 + 20x) Solving 2 + 6x = -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. 2 + 6x + -20x = -10 + 20x + -20x Combine like terms: 6x + -20x = -14x 2 + -14x = -10 + 20x + -20x Combine like terms: 20x + -20x = 0 2 + -14x = -10 + 0 2 + -14x = -10 Add '-2' to each side of the equation. 2 + -2 + -14x = -10 + -2 Combine like terms: 2 + -2 = 0 0 + -14x = -10 + -2 -14x = -10 + -2 Combine like terms: -10 + -2 = -12 -14x = -12 Divide each side by '-14'. x = 0.8571428571 Simplifying x = 0.8571428571
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