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Simplifying 92 + -1(5x + 13) = 5(x + 7) + x Reorder the terms: 92 + -1(13 + 5x) = 5(x + 7) + x 92 + (13 * -1 + 5x * -1) = 5(x + 7) + x 92 + (-13 + -5x) = 5(x + 7) + x Combine like terms: 92 + -13 = 79 79 + -5x = 5(x + 7) + x Reorder the terms: 79 + -5x = 5(7 + x) + x 79 + -5x = (7 * 5 + x * 5) + x 79 + -5x = (35 + 5x) + x Combine like terms: 5x + x = 6x 79 + -5x = 35 + 6x Solving 79 + -5x = 35 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 79 + -5x + -6x = 35 + 6x + -6x Combine like terms: -5x + -6x = -11x 79 + -11x = 35 + 6x + -6x Combine like terms: 6x + -6x = 0 79 + -11x = 35 + 0 79 + -11x = 35 Add '-79' to each side of the equation. 79 + -79 + -11x = 35 + -79 Combine like terms: 79 + -79 = 0 0 + -11x = 35 + -79 -11x = 35 + -79 Combine like terms: 35 + -79 = -44 -11x = -44 Divide each side by '-11'. x = 4 Simplifying x = 4
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