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Simplifying 4x + 9 = 9 + -1(8x + -8) Reorder the terms: 9 + 4x = 9 + -1(8x + -8) Reorder the terms: 9 + 4x = 9 + -1(-8 + 8x) 9 + 4x = 9 + (-8 * -1 + 8x * -1) 9 + 4x = 9 + (8 + -8x) Combine like terms: 9 + 8 = 17 9 + 4x = 17 + -8x Solving 9 + 4x = 17 + -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 + 4x + 8x = 17 + -8x + 8x Combine like terms: 4x + 8x = 12x 9 + 12x = 17 + -8x + 8x Combine like terms: -8x + 8x = 0 9 + 12x = 17 + 0 9 + 12x = 17 Add '-9' to each side of the equation. 9 + -9 + 12x = 17 + -9 Combine like terms: 9 + -9 = 0 0 + 12x = 17 + -9 12x = 17 + -9 Combine like terms: 17 + -9 = 8 12x = 8 Divide each side by '12'. x = 0.6666666667 Simplifying x = 0.6666666667
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