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Simplifying -8(x + 4) + 2x + 6 = 6x + 9 Reorder the terms: -8(4 + x) + 2x + 6 = 6x + 9 (4 * -8 + x * -8) + 2x + 6 = 6x + 9 (-32 + -8x) + 2x + 6 = 6x + 9 Reorder the terms: -32 + 6 + -8x + 2x = 6x + 9 Combine like terms: -32 + 6 = -26 -26 + -8x + 2x = 6x + 9 Combine like terms: -8x + 2x = -6x -26 + -6x = 6x + 9 Reorder the terms: -26 + -6x = 9 + 6x Solving -26 + -6x = 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. -26 + -6x + -6x = 9 + 6x + -6x Combine like terms: -6x + -6x = -12x -26 + -12x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 -26 + -12x = 9 + 0 -26 + -12x = 9 Add '26' to each side of the equation. -26 + 26 + -12x = 9 + 26 Combine like terms: -26 + 26 = 0 0 + -12x = 9 + 26 -12x = 9 + 26 Combine like terms: 9 + 26 = 35 -12x = 35 Divide each side by '-12'. x = -2.916666667 Simplifying x = -2.916666667
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