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Simplifying 7x + 5(5x + -12) = 100 Reorder the terms: 7x + 5(-12 + 5x) = 100 7x + (-12 * 5 + 5x * 5) = 100 7x + (-60 + 25x) = 100 Reorder the terms: -60 + 7x + 25x = 100 Combine like terms: 7x + 25x = 32x -60 + 32x = 100 Solving -60 + 32x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + 32x = 100 + 60 Combine like terms: -60 + 60 = 0 0 + 32x = 100 + 60 32x = 100 + 60 Combine like terms: 100 + 60 = 160 32x = 160 Divide each side by '32'. x = 5 Simplifying x = 5
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