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Simplifying 484 = 3x + -7(4x + -37) Reorder the terms: 484 = 3x + -7(-37 + 4x) 484 = 3x + (-37 * -7 + 4x * -7) 484 = 3x + (259 + -28x) Reorder the terms: 484 = 259 + 3x + -28x Combine like terms: 3x + -28x = -25x 484 = 259 + -25x Solving 484 = 259 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. 484 + 25x = 259 + -25x + 25x Combine like terms: -25x + 25x = 0 484 + 25x = 259 + 0 484 + 25x = 259 Add '-484' to each side of the equation. 484 + -484 + 25x = 259 + -484 Combine like terms: 484 + -484 = 0 0 + 25x = 259 + -484 25x = 259 + -484 Combine like terms: 259 + -484 = -225 25x = -225 Divide each side by '25'. x = -9 Simplifying x = -9
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