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Simplifying 7(5x + -4) = 5 + -1(10 + -23X) Reorder the terms: 7(-4 + 5x) = 5 + -1(10 + -23X) (-4 * 7 + 5x * 7) = 5 + -1(10 + -23X) (-28 + 35x) = 5 + -1(10 + -23X) -28 + 35x = 5 + (10 * -1 + -23X * -1) -28 + 35x = 5 + (-10 + 23X) Combine like terms: 5 + -10 = -5 -28 + 35x = -5 + 23X Solving -28 + 35x = -5 + 23X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 35x = -5 + 28 + 23X Combine like terms: -28 + 28 = 0 0 + 35x = -5 + 28 + 23X 35x = -5 + 28 + 23X Combine like terms: -5 + 28 = 23 35x = 23 + 23X Divide each side by '35'. x = 0.6571428571 + 0.6571428571X Simplifying x = 0.6571428571 + 0.6571428571X
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