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Simplifying 3x + 9 = 9 + -1(x + 8) Reorder the terms: 9 + 3x = 9 + -1(x + 8) Reorder the terms: 9 + 3x = 9 + -1(8 + x) 9 + 3x = 9 + (8 * -1 + x * -1) 9 + 3x = 9 + (-8 + -1x) Combine like terms: 9 + -8 = 1 9 + 3x = 1 + -1x Solving 9 + 3x = 1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 9 + 3x + x = 1 + -1x + x Combine like terms: 3x + x = 4x 9 + 4x = 1 + -1x + x Combine like terms: -1x + x = 0 9 + 4x = 1 + 0 9 + 4x = 1 Add '-9' to each side of the equation. 9 + -9 + 4x = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = 1 + -9 4x = 1 + -9 Combine like terms: 1 + -9 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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