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Simplifying 7(3x + -2) = -8(x + 9) Reorder the terms: 7(-2 + 3x) = -8(x + 9) (-2 * 7 + 3x * 7) = -8(x + 9) (-14 + 21x) = -8(x + 9) Reorder the terms: -14 + 21x = -8(9 + x) -14 + 21x = (9 * -8 + x * -8) -14 + 21x = (-72 + -8x) Solving -14 + 21x = -72 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -14 + 21x + 8x = -72 + -8x + 8x Combine like terms: 21x + 8x = 29x -14 + 29x = -72 + -8x + 8x Combine like terms: -8x + 8x = 0 -14 + 29x = -72 + 0 -14 + 29x = -72 Add '14' to each side of the equation. -14 + 14 + 29x = -72 + 14 Combine like terms: -14 + 14 = 0 0 + 29x = -72 + 14 29x = -72 + 14 Combine like terms: -72 + 14 = -58 29x = -58 Divide each side by '29'. x = -2 Simplifying x = -2
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