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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 = 8 -29x = 8 Divide each side by '-29'. x = -0.275862069 Simplifying x = -0.275862069
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