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Simplifying 4(-3 + 7x) + 5(1 + 5x) = -60 (-3 * 4 + 7x * 4) + 5(1 + 5x) = -60 (-12 + 28x) + 5(1 + 5x) = -60 -12 + 28x + (1 * 5 + 5x * 5) = -60 -12 + 28x + (5 + 25x) = -60 Reorder the terms: -12 + 5 + 28x + 25x = -60 Combine like terms: -12 + 5 = -7 -7 + 28x + 25x = -60 Combine like terms: 28x + 25x = 53x -7 + 53x = -60 Solving -7 + 53x = -60 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 53x = -60 + 7 Combine like terms: -7 + 7 = 0 0 + 53x = -60 + 7 53x = -60 + 7 Combine like terms: -60 + 7 = -53 53x = -53 Divide each side by '53'. x = -1 Simplifying x = -1
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