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Simplifying 3x + -1 = 8(x + 1) + 1 Reorder the terms: -1 + 3x = 8(x + 1) + 1 Reorder the terms: -1 + 3x = 8(1 + x) + 1 -1 + 3x = (1 * 8 + x * 8) + 1 -1 + 3x = (8 + 8x) + 1 Reorder the terms: -1 + 3x = 8 + 1 + 8x Combine like terms: 8 + 1 = 9 -1 + 3x = 9 + 8x Solving -1 + 3x = 9 + 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. -1 + 3x + -8x = 9 + 8x + -8x Combine like terms: 3x + -8x = -5x -1 + -5x = 9 + 8x + -8x Combine like terms: 8x + -8x = 0 -1 + -5x = 9 + 0 -1 + -5x = 9 Add '1' to each side of the equation. -1 + 1 + -5x = 9 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 9 + 1 -5x = 9 + 1 Combine like terms: 9 + 1 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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