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Simplifying 3(9x + -1) = 7(2x + 7) Reorder the terms: 3(-1 + 9x) = 7(2x + 7) (-1 * 3 + 9x * 3) = 7(2x + 7) (-3 + 27x) = 7(2x + 7) Reorder the terms: -3 + 27x = 7(7 + 2x) -3 + 27x = (7 * 7 + 2x * 7) -3 + 27x = (49 + 14x) Solving -3 + 27x = 49 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -3 + 27x + -14x = 49 + 14x + -14x Combine like terms: 27x + -14x = 13x -3 + 13x = 49 + 14x + -14x Combine like terms: 14x + -14x = 0 -3 + 13x = 49 + 0 -3 + 13x = 49 Add '3' to each side of the equation. -3 + 3 + 13x = 49 + 3 Combine like terms: -3 + 3 = 0 0 + 13x = 49 + 3 13x = 49 + 3 Combine like terms: 49 + 3 = 52 13x = 52 Divide each side by '13'. x = 4 Simplifying x = 4
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