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Simplifying 5x + 7 = 100x + -25(4x + 3) Reorder the terms: 7 + 5x = 100x + -25(4x + 3) Reorder the terms: 7 + 5x = 100x + -25(3 + 4x) 7 + 5x = 100x + (3 * -25 + 4x * -25) 7 + 5x = 100x + (-75 + -100x) Reorder the terms: 7 + 5x = -75 + 100x + -100x Combine like terms: 100x + -100x = 0 7 + 5x = -75 + 0 7 + 5x = -75 Solving 7 + 5x = -75 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 + 5x = -75 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = -75 + -7 5x = -75 + -7 Combine like terms: -75 + -7 = -82 5x = -82 Divide each side by '5'. x = -16.4 Simplifying x = -16.4
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