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Simplifying -83 = -5x + -2(x + 17) Reorder the terms: -83 = -5x + -2(17 + x) -83 = -5x + (17 * -2 + x * -2) -83 = -5x + (-34 + -2x) Reorder the terms: -83 = -34 + -5x + -2x Combine like terms: -5x + -2x = -7x -83 = -34 + -7x Solving -83 = -34 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -83 + 7x = -34 + -7x + 7x Combine like terms: -7x + 7x = 0 -83 + 7x = -34 + 0 -83 + 7x = -34 Add '83' to each side of the equation. -83 + 83 + 7x = -34 + 83 Combine like terms: -83 + 83 = 0 0 + 7x = -34 + 83 7x = -34 + 83 Combine like terms: -34 + 83 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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