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Simplifying 91 + -1(5x + 13) = 5(x + 9) + 5 Reorder the terms: 91 + -1(13 + 5x) = 5(x + 9) + 5 91 + (13 * -1 + 5x * -1) = 5(x + 9) + 5 91 + (-13 + -5x) = 5(x + 9) + 5 Combine like terms: 91 + -13 = 78 78 + -5x = 5(x + 9) + 5 Reorder the terms: 78 + -5x = 5(9 + x) + 5 78 + -5x = (9 * 5 + x * 5) + 5 78 + -5x = (45 + 5x) + 5 Reorder the terms: 78 + -5x = 45 + 5 + 5x Combine like terms: 45 + 5 = 50 78 + -5x = 50 + 5x Solving 78 + -5x = 50 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 78 + -5x + -5x = 50 + 5x + -5x Combine like terms: -5x + -5x = -10x 78 + -10x = 50 + 5x + -5x Combine like terms: 5x + -5x = 0 78 + -10x = 50 + 0 78 + -10x = 50 Add '-78' to each side of the equation. 78 + -78 + -10x = 50 + -78 Combine like terms: 78 + -78 = 0 0 + -10x = 50 + -78 -10x = 50 + -78 Combine like terms: 50 + -78 = -28 -10x = -28 Divide each side by '-10'. x = 2.8 Simplifying x = 2.8
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