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Simplifying 3(x + -1) + 4 = 8x + 1 Reorder the terms: 3(-1 + x) + 4 = 8x + 1 (-1 * 3 + x * 3) + 4 = 8x + 1 (-3 + 3x) + 4 = 8x + 1 Reorder the terms: -3 + 4 + 3x = 8x + 1 Combine like terms: -3 + 4 = 1 1 + 3x = 8x + 1 Reorder the terms: 1 + 3x = 1 + 8x Add '-1' to each side of the equation. 1 + -1 + 3x = 1 + -1 + 8x Combine like terms: 1 + -1 = 0 0 + 3x = 1 + -1 + 8x 3x = 1 + -1 + 8x Combine like terms: 1 + -1 = 0 3x = 0 + 8x 3x = 8x Solving 3x = 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. 3x + -8x = 8x + -8x Combine like terms: 3x + -8x = -5x -5x = 8x + -8x Combine like terms: 8x + -8x = 0 -5x = 0 Divide each side by '-5'. x = 0 Simplifying x = 0
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