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Simplifying 2x + -7(2 + -5x) = 4 + -2x + 15 2x + (2 * -7 + -5x * -7) = 4 + -2x + 15 2x + (-14 + 35x) = 4 + -2x + 15 Reorder the terms: -14 + 2x + 35x = 4 + -2x + 15 Combine like terms: 2x + 35x = 37x -14 + 37x = 4 + -2x + 15 Reorder the terms: -14 + 37x = 4 + 15 + -2x Combine like terms: 4 + 15 = 19 -14 + 37x = 19 + -2x Solving -14 + 37x = 19 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -14 + 37x + 2x = 19 + -2x + 2x Combine like terms: 37x + 2x = 39x -14 + 39x = 19 + -2x + 2x Combine like terms: -2x + 2x = 0 -14 + 39x = 19 + 0 -14 + 39x = 19 Add '14' to each side of the equation. -14 + 14 + 39x = 19 + 14 Combine like terms: -14 + 14 = 0 0 + 39x = 19 + 14 39x = 19 + 14 Combine like terms: 19 + 14 = 33 39x = 33 Divide each side by '39'. x = 0.8461538462 Simplifying x = 0.8461538462
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