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Simplifying 123 + -1(5x + 3) = 5(x + 9) + x Reorder the terms: 123 + -1(3 + 5x) = 5(x + 9) + x 123 + (3 * -1 + 5x * -1) = 5(x + 9) + x 123 + (-3 + -5x) = 5(x + 9) + x Combine like terms: 123 + -3 = 120 120 + -5x = 5(x + 9) + x Reorder the terms: 120 + -5x = 5(9 + x) + x 120 + -5x = (9 * 5 + x * 5) + x 120 + -5x = (45 + 5x) + x Combine like terms: 5x + x = 6x 120 + -5x = 45 + 6x Solving 120 + -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. 120 + -5x + -6x = 45 + 6x + -6x Combine like terms: -5x + -6x = -11x 120 + -11x = 45 + 6x + -6x Combine like terms: 6x + -6x = 0 120 + -11x = 45 + 0 120 + -11x = 45 Add '-120' to each side of the equation. 120 + -120 + -11x = 45 + -120 Combine like terms: 120 + -120 = 0 0 + -11x = 45 + -120 -11x = 45 + -120 Combine like terms: 45 + -120 = -75 -11x = -75 Divide each side by '-11'. x = 6.818181818 Simplifying x = 6.818181818
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