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Simplifying 83 = -6x + 7(5x + -13) Reorder the terms: 83 = -6x + 7(-13 + 5x) 83 = -6x + (-13 * 7 + 5x * 7) 83 = -6x + (-91 + 35x) Reorder the terms: 83 = -91 + -6x + 35x Combine like terms: -6x + 35x = 29x 83 = -91 + 29x Solving 83 = -91 + 29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29x' to each side of the equation. 83 + -29x = -91 + 29x + -29x Combine like terms: 29x + -29x = 0 83 + -29x = -91 + 0 83 + -29x = -91 Add '-83' to each side of the equation. 83 + -83 + -29x = -91 + -83 Combine like terms: 83 + -83 = 0 0 + -29x = -91 + -83 -29x = -91 + -83 Combine like terms: -91 + -83 = -174 -29x = -174 Divide each side by '-29'. x = 6 Simplifying x = 6
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