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Simplifying -9(x + 3) + 4x + 6 = 7x + 8 Reorder the terms: -9(3 + x) + 4x + 6 = 7x + 8 (3 * -9 + x * -9) + 4x + 6 = 7x + 8 (-27 + -9x) + 4x + 6 = 7x + 8 Reorder the terms: -27 + 6 + -9x + 4x = 7x + 8 Combine like terms: -27 + 6 = -21 -21 + -9x + 4x = 7x + 8 Combine like terms: -9x + 4x = -5x -21 + -5x = 7x + 8 Reorder the terms: -21 + -5x = 8 + 7x Solving -21 + -5x = 8 + 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. -21 + -5x + -7x = 8 + 7x + -7x Combine like terms: -5x + -7x = -12x -21 + -12x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 -21 + -12x = 8 + 0 -21 + -12x = 8 Add '21' to each side of the equation. -21 + 21 + -12x = 8 + 21 Combine like terms: -21 + 21 = 0 0 + -12x = 8 + 21 -12x = 8 + 21 Combine like terms: 8 + 21 = 29 -12x = 29 Divide each side by '-12'. x = -2.416666667 Simplifying x = -2.416666667
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