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Simplifying -10(2 + -13x) = 10(10x + 7) (2 * -10 + -13x * -10) = 10(10x + 7) (-20 + 130x) = 10(10x + 7) Reorder the terms: -20 + 130x = 10(7 + 10x) -20 + 130x = (7 * 10 + 10x * 10) -20 + 130x = (70 + 100x) Solving -20 + 130x = 70 + 100x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100x' to each side of the equation. -20 + 130x + -100x = 70 + 100x + -100x Combine like terms: 130x + -100x = 30x -20 + 30x = 70 + 100x + -100x Combine like terms: 100x + -100x = 0 -20 + 30x = 70 + 0 -20 + 30x = 70 Add '20' to each side of the equation. -20 + 20 + 30x = 70 + 20 Combine like terms: -20 + 20 = 0 0 + 30x = 70 + 20 30x = 70 + 20 Combine like terms: 70 + 20 = 90 30x = 90 Divide each side by '30'. x = 3 Simplifying x = 3
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