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Simplifying -9(x + 3) + 2x + 6 = 6x + 8 Reorder the terms: -9(3 + x) + 2x + 6 = 6x + 8 (3 * -9 + x * -9) + 2x + 6 = 6x + 8 (-27 + -9x) + 2x + 6 = 6x + 8 Reorder the terms: -27 + 6 + -9x + 2x = 6x + 8 Combine like terms: -27 + 6 = -21 -21 + -9x + 2x = 6x + 8 Combine like terms: -9x + 2x = -7x -21 + -7x = 6x + 8 Reorder the terms: -21 + -7x = 8 + 6x Solving -21 + -7x = 8 + 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. -21 + -7x + -6x = 8 + 6x + -6x Combine like terms: -7x + -6x = -13x -21 + -13x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 -21 + -13x = 8 + 0 -21 + -13x = 8 Add '21' to each side of the equation. -21 + 21 + -13x = 8 + 21 Combine like terms: -21 + 21 = 0 0 + -13x = 8 + 21 -13x = 8 + 21 Combine like terms: 8 + 21 = 29 -13x = 29 Divide each side by '-13'. x = -2.230769231 Simplifying x = -2.230769231
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