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Simplifying -7(x + 2) + 2x + 6 = 7x + 9 Reorder the terms: -7(2 + x) + 2x + 6 = 7x + 9 (2 * -7 + x * -7) + 2x + 6 = 7x + 9 (-14 + -7x) + 2x + 6 = 7x + 9 Reorder the terms: -14 + 6 + -7x + 2x = 7x + 9 Combine like terms: -14 + 6 = -8 -8 + -7x + 2x = 7x + 9 Combine like terms: -7x + 2x = -5x -8 + -5x = 7x + 9 Reorder the terms: -8 + -5x = 9 + 7x Solving -8 + -5x = 9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -8 + -5x + -7x = 9 + 7x + -7x Combine like terms: -5x + -7x = -12x -8 + -12x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + -12x = 9 + 0 -8 + -12x = 9 Add '8' to each side of the equation. -8 + 8 + -12x = 9 + 8 Combine like terms: -8 + 8 = 0 0 + -12x = 9 + 8 -12x = 9 + 8 Combine like terms: 9 + 8 = 17 -12x = 17 Divide each side by '-12'. x = -1.416666667 Simplifying x = -1.416666667
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