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Simplifying 102 + -1(5x + 13) = 5(x + 9) + x Reorder the terms: 102 + -1(13 + 5x) = 5(x + 9) + x 102 + (13 * -1 + 5x * -1) = 5(x + 9) + x 102 + (-13 + -5x) = 5(x + 9) + x Combine like terms: 102 + -13 = 89 89 + -5x = 5(x + 9) + x Reorder the terms: 89 + -5x = 5(9 + x) + x 89 + -5x = (9 * 5 + x * 5) + x 89 + -5x = (45 + 5x) + x Combine like terms: 5x + x = 6x 89 + -5x = 45 + 6x Solving 89 + -5x = 45 + 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. 89 + -5x + -6x = 45 + 6x + -6x Combine like terms: -5x + -6x = -11x 89 + -11x = 45 + 6x + -6x Combine like terms: 6x + -6x = 0 89 + -11x = 45 + 0 89 + -11x = 45 Add '-89' to each side of the equation. 89 + -89 + -11x = 45 + -89 Combine like terms: 89 + -89 = 0 0 + -11x = 45 + -89 -11x = 45 + -89 Combine like terms: 45 + -89 = -44 -11x = -44 Divide each side by '-11'. x = 4 Simplifying x = 4
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