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Simplifying 5(2x + -4) = 3x + 7 Reorder the terms: 5(-4 + 2x) = 3x + 7 (-4 * 5 + 2x * 5) = 3x + 7 (-20 + 10x) = 3x + 7 Reorder the terms: -20 + 10x = 7 + 3x Solving -20 + 10x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -20 + 10x + -3x = 7 + 3x + -3x Combine like terms: 10x + -3x = 7x -20 + 7x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -20 + 7x = 7 + 0 -20 + 7x = 7 Add '20' to each side of the equation. -20 + 20 + 7x = 7 + 20 Combine like terms: -20 + 20 = 0 0 + 7x = 7 + 20 7x = 7 + 20 Combine like terms: 7 + 20 = 27 7x = 27 Divide each side by '7'. x = 3.857142857 Simplifying x = 3.857142857
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