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Simplifying 3x + -7 = 5(2 + -4x) Reorder the terms: -7 + 3x = 5(2 + -4x) -7 + 3x = (2 * 5 + -4x * 5) -7 + 3x = (10 + -20x) Solving -7 + 3x = 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. -7 + 3x + 20x = 10 + -20x + 20x Combine like terms: 3x + 20x = 23x -7 + 23x = 10 + -20x + 20x Combine like terms: -20x + 20x = 0 -7 + 23x = 10 + 0 -7 + 23x = 10 Add '7' to each side of the equation. -7 + 7 + 23x = 10 + 7 Combine like terms: -7 + 7 = 0 0 + 23x = 10 + 7 23x = 10 + 7 Combine like terms: 10 + 7 = 17 23x = 17 Divide each side by '23'. x = 0.7391304348 Simplifying x = 0.7391304348
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