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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) Add '10' to each side of the equation. -10 + 10 + 30x = -10 + 10 + 20x Combine like terms: -10 + 10 = 0 0 + 30x = -10 + 10 + 20x 30x = -10 + 10 + 20x Combine like terms: -10 + 10 = 0 30x = 0 + 20x 30x = 20x Solving 30x = 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. 30x + -20x = 20x + -20x Combine like terms: 30x + -20x = 10x 10x = 20x + -20x Combine like terms: 20x + -20x = 0 10x = 0 Divide each side by '10'. x = 0 Simplifying x = 0
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