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Simplifying 13(x + 1) + -4x = 85 Reorder the terms: 13(1 + x) + -4x = 85 (1 * 13 + x * 13) + -4x = 85 (13 + 13x) + -4x = 85 Combine like terms: 13x + -4x = 9x 13 + 9x = 85 Solving 13 + 9x = 85 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 9x = 85 + -13 Combine like terms: 13 + -13 = 0 0 + 9x = 85 + -13 9x = 85 + -13 Combine like terms: 85 + -13 = 72 9x = 72 Divide each side by '9'. x = 8 Simplifying x = 8
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