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Simplifying 5(x + -1) + 6(x + 3) + 7 = 85 Reorder the terms: 5(-1 + x) + 6(x + 3) + 7 = 85 (-1 * 5 + x * 5) + 6(x + 3) + 7 = 85 (-5 + 5x) + 6(x + 3) + 7 = 85 Reorder the terms: -5 + 5x + 6(3 + x) + 7 = 85 -5 + 5x + (3 * 6 + x * 6) + 7 = 85 -5 + 5x + (18 + 6x) + 7 = 85 Reorder the terms: -5 + 18 + 7 + 5x + 6x = 85 Combine like terms: -5 + 18 = 13 13 + 7 + 5x + 6x = 85 Combine like terms: 13 + 7 = 20 20 + 5x + 6x = 85 Combine like terms: 5x + 6x = 11x 20 + 11x = 85 Solving 20 + 11x = 85 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 11x = 85 + -20 Combine like terms: 20 + -20 = 0 0 + 11x = 85 + -20 11x = 85 + -20 Combine like terms: 85 + -20 = 65 11x = 65 Divide each side by '11'. x = 5.909090909 Simplifying x = 5.909090909
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