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Simplifying -7(2x + -3) + 8x = 3(x + 9) Reorder the terms: -7(-3 + 2x) + 8x = 3(x + 9) (-3 * -7 + 2x * -7) + 8x = 3(x + 9) (21 + -14x) + 8x = 3(x + 9) Combine like terms: -14x + 8x = -6x 21 + -6x = 3(x + 9) Reorder the terms: 21 + -6x = 3(9 + x) 21 + -6x = (9 * 3 + x * 3) 21 + -6x = (27 + 3x) Solving 21 + -6x = 27 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 21 + -6x + -3x = 27 + 3x + -3x Combine like terms: -6x + -3x = -9x 21 + -9x = 27 + 3x + -3x Combine like terms: 3x + -3x = 0 21 + -9x = 27 + 0 21 + -9x = 27 Add '-21' to each side of the equation. 21 + -21 + -9x = 27 + -21 Combine like terms: 21 + -21 = 0 0 + -9x = 27 + -21 -9x = 27 + -21 Combine like terms: 27 + -21 = 6 -9x = 6 Divide each side by '-9'. x = -0.6666666667 Simplifying x = -0.6666666667
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