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Simplifying -7(x + 2) + 2x + 5 = 6x + 9 Reorder the terms: -7(2 + x) + 2x + 5 = 6x + 9 (2 * -7 + x * -7) + 2x + 5 = 6x + 9 (-14 + -7x) + 2x + 5 = 6x + 9 Reorder the terms: -14 + 5 + -7x + 2x = 6x + 9 Combine like terms: -14 + 5 = -9 -9 + -7x + 2x = 6x + 9 Combine like terms: -7x + 2x = -5x -9 + -5x = 6x + 9 Reorder the terms: -9 + -5x = 9 + 6x Solving -9 + -5x = 9 + 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. -9 + -5x + -6x = 9 + 6x + -6x Combine like terms: -5x + -6x = -11x -9 + -11x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 + -11x = 9 + 0 -9 + -11x = 9 Add '9' to each side of the equation. -9 + 9 + -11x = 9 + 9 Combine like terms: -9 + 9 = 0 0 + -11x = 9 + 9 -11x = 9 + 9 Combine like terms: 9 + 9 = 18 -11x = 18 Divide each side by '-11'. x = -1.636363636 Simplifying x = -1.636363636
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