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Simplifying 3x + 9 = 9 + -1(8x + -3) Reorder the terms: 9 + 3x = 9 + -1(8x + -3) Reorder the terms: 9 + 3x = 9 + -1(-3 + 8x) 9 + 3x = 9 + (-3 * -1 + 8x * -1) 9 + 3x = 9 + (3 + -8x) Combine like terms: 9 + 3 = 12 9 + 3x = 12 + -8x Solving 9 + 3x = 12 + -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. 9 + 3x + 8x = 12 + -8x + 8x Combine like terms: 3x + 8x = 11x 9 + 11x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 9 + 11x = 12 + 0 9 + 11x = 12 Add '-9' to each side of the equation. 9 + -9 + 11x = 12 + -9 Combine like terms: 9 + -9 = 0 0 + 11x = 12 + -9 11x = 12 + -9 Combine like terms: 12 + -9 = 3 11x = 3 Divide each side by '11'. x = 0.2727272727 Simplifying x = 0.2727272727
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