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Simplifying 25(8x + -16) + 4x + -4 = 50(6x + 4) + -1 Reorder the terms: 25(-16 + 8x) + 4x + -4 = 50(6x + 4) + -1 (-16 * 25 + 8x * 25) + 4x + -4 = 50(6x + 4) + -1 (-400 + 200x) + 4x + -4 = 50(6x + 4) + -1 Reorder the terms: -400 + -4 + 200x + 4x = 50(6x + 4) + -1 Combine like terms: -400 + -4 = -404 -404 + 200x + 4x = 50(6x + 4) + -1 Combine like terms: 200x + 4x = 204x -404 + 204x = 50(6x + 4) + -1 Reorder the terms: -404 + 204x = 50(4 + 6x) + -1 -404 + 204x = (4 * 50 + 6x * 50) + -1 -404 + 204x = (200 + 300x) + -1 Reorder the terms: -404 + 204x = 200 + -1 + 300x Combine like terms: 200 + -1 = 199 -404 + 204x = 199 + 300x Solving -404 + 204x = 199 + 300x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-300x' to each side of the equation. -404 + 204x + -300x = 199 + 300x + -300x Combine like terms: 204x + -300x = -96x -404 + -96x = 199 + 300x + -300x Combine like terms: 300x + -300x = 0 -404 + -96x = 199 + 0 -404 + -96x = 199 Add '404' to each side of the equation. -404 + 404 + -96x = 199 + 404 Combine like terms: -404 + 404 = 0 0 + -96x = 199 + 404 -96x = 199 + 404 Combine like terms: 199 + 404 = 603 -96x = 603 Divide each side by '-96'. x = -6.28125 Simplifying x = -6.28125
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