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Simplifying 5(2x + -4) + 3 = -7(5x + 2) Reorder the terms: 5(-4 + 2x) + 3 = -7(5x + 2) (-4 * 5 + 2x * 5) + 3 = -7(5x + 2) (-20 + 10x) + 3 = -7(5x + 2) Reorder the terms: -20 + 3 + 10x = -7(5x + 2) Combine like terms: -20 + 3 = -17 -17 + 10x = -7(5x + 2) Reorder the terms: -17 + 10x = -7(2 + 5x) -17 + 10x = (2 * -7 + 5x * -7) -17 + 10x = (-14 + -35x) Solving -17 + 10x = -14 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. -17 + 10x + 35x = -14 + -35x + 35x Combine like terms: 10x + 35x = 45x -17 + 45x = -14 + -35x + 35x Combine like terms: -35x + 35x = 0 -17 + 45x = -14 + 0 -17 + 45x = -14 Add '17' to each side of the equation. -17 + 17 + 45x = -14 + 17 Combine like terms: -17 + 17 = 0 0 + 45x = -14 + 17 45x = -14 + 17 Combine like terms: -14 + 17 = 3 45x = 3 Divide each side by '45'. x = 0.06666666667 Simplifying x = 0.06666666667
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