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Simplifying -10(-3x + 10) = 10(-5x + 6) Reorder the terms: -10(10 + -3x) = 10(-5x + 6) (10 * -10 + -3x * -10) = 10(-5x + 6) (-100 + 30x) = 10(-5x + 6) Reorder the terms: -100 + 30x = 10(6 + -5x) -100 + 30x = (6 * 10 + -5x * 10) -100 + 30x = (60 + -50x) Solving -100 + 30x = 60 + -50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50x' to each side of the equation. -100 + 30x + 50x = 60 + -50x + 50x Combine like terms: 30x + 50x = 80x -100 + 80x = 60 + -50x + 50x Combine like terms: -50x + 50x = 0 -100 + 80x = 60 + 0 -100 + 80x = 60 Add '100' to each side of the equation. -100 + 100 + 80x = 60 + 100 Combine like terms: -100 + 100 = 0 0 + 80x = 60 + 100 80x = 60 + 100 Combine like terms: 60 + 100 = 160 80x = 160 Divide each side by '80'. x = 2 Simplifying x = 2
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