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Simplifying -2(7 + 10x) = 3(10x + 12) (7 * -2 + 10x * -2) = 3(10x + 12) (-14 + -20x) = 3(10x + 12) Reorder the terms: -14 + -20x = 3(12 + 10x) -14 + -20x = (12 * 3 + 10x * 3) -14 + -20x = (36 + 30x) Solving -14 + -20x = 36 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -14 + -20x + -30x = 36 + 30x + -30x Combine like terms: -20x + -30x = -50x -14 + -50x = 36 + 30x + -30x Combine like terms: 30x + -30x = 0 -14 + -50x = 36 + 0 -14 + -50x = 36 Add '14' to each side of the equation. -14 + 14 + -50x = 36 + 14 Combine like terms: -14 + 14 = 0 0 + -50x = 36 + 14 -50x = 36 + 14 Combine like terms: 36 + 14 = 50 -50x = 50 Divide each side by '-50'. x = -1 Simplifying x = -1
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