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Simplifying -280 = 2x + -7(5x + 7) Reorder the terms: -280 = 2x + -7(7 + 5x) -280 = 2x + (7 * -7 + 5x * -7) -280 = 2x + (-49 + -35x) Reorder the terms: -280 = -49 + 2x + -35x Combine like terms: 2x + -35x = -33x -280 = -49 + -33x Solving -280 = -49 + -33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33x' to each side of the equation. -280 + 33x = -49 + -33x + 33x Combine like terms: -33x + 33x = 0 -280 + 33x = -49 + 0 -280 + 33x = -49 Add '280' to each side of the equation. -280 + 280 + 33x = -49 + 280 Combine like terms: -280 + 280 = 0 0 + 33x = -49 + 280 33x = -49 + 280 Combine like terms: -49 + 280 = 231 33x = 231 Divide each side by '33'. x = 7 Simplifying x = 7
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