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Simplifying 3x + -1 + 9(x + 1) = 8x Reorder the terms: 3x + -1 + 9(1 + x) = 8x 3x + -1 + (1 * 9 + x * 9) = 8x 3x + -1 + (9 + 9x) = 8x Reorder the terms: -1 + 9 + 3x + 9x = 8x Combine like terms: -1 + 9 = 8 8 + 3x + 9x = 8x Combine like terms: 3x + 9x = 12x 8 + 12x = 8x Solving 8 + 12x = 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. 8 + 12x + -8x = 8x + -8x Combine like terms: 12x + -8x = 4x 8 + 4x = 8x + -8x Combine like terms: 8x + -8x = 0 8 + 4x = 0 Add '-8' to each side of the equation. 8 + -8 + 4x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 0 + -8 4x = 0 + -8 Combine like terms: 0 + -8 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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