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Simplifying 89 + -1(5x + 13) = 5(x + 2) + x Reorder the terms: 89 + -1(13 + 5x) = 5(x + 2) + x 89 + (13 * -1 + 5x * -1) = 5(x + 2) + x 89 + (-13 + -5x) = 5(x + 2) + x Combine like terms: 89 + -13 = 76 76 + -5x = 5(x + 2) + x Reorder the terms: 76 + -5x = 5(2 + x) + x 76 + -5x = (2 * 5 + x * 5) + x 76 + -5x = (10 + 5x) + x Combine like terms: 5x + x = 6x 76 + -5x = 10 + 6x Solving 76 + -5x = 10 + 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. 76 + -5x + -6x = 10 + 6x + -6x Combine like terms: -5x + -6x = -11x 76 + -11x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 76 + -11x = 10 + 0 76 + -11x = 10 Add '-76' to each side of the equation. 76 + -76 + -11x = 10 + -76 Combine like terms: 76 + -76 = 0 0 + -11x = 10 + -76 -11x = 10 + -76 Combine like terms: 10 + -76 = -66 -11x = -66 Divide each side by '-11'. x = 6 Simplifying x = 6
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