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Simplifying 121 + -1(5x + 9) = 5(x + 7) + x Reorder the terms: 121 + -1(9 + 5x) = 5(x + 7) + x 121 + (9 * -1 + 5x * -1) = 5(x + 7) + x 121 + (-9 + -5x) = 5(x + 7) + x Combine like terms: 121 + -9 = 112 112 + -5x = 5(x + 7) + x Reorder the terms: 112 + -5x = 5(7 + x) + x 112 + -5x = (7 * 5 + x * 5) + x 112 + -5x = (35 + 5x) + x Combine like terms: 5x + x = 6x 112 + -5x = 35 + 6x Solving 112 + -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. 112 + -5x + -6x = 35 + 6x + -6x Combine like terms: -5x + -6x = -11x 112 + -11x = 35 + 6x + -6x Combine like terms: 6x + -6x = 0 112 + -11x = 35 + 0 112 + -11x = 35 Add '-112' to each side of the equation. 112 + -112 + -11x = 35 + -112 Combine like terms: 112 + -112 = 0 0 + -11x = 35 + -112 -11x = 35 + -112 Combine like terms: 35 + -112 = -77 -11x = -77 Divide each side by '-11'. x = 7 Simplifying x = 7
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