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Simplifying 3x + -1 = 4x + 8 + -1 Reorder the terms: -1 + 3x = 4x + 8 + -1 Reorder the terms: -1 + 3x = 8 + -1 + 4x Combine like terms: 8 + -1 = 7 -1 + 3x = 7 + 4x Solving -1 + 3x = 7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -1 + 3x + -4x = 7 + 4x + -4x Combine like terms: 3x + -4x = -1x -1 + -1x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + -1x = 7 + 0 -1 + -1x = 7 Add '1' to each side of the equation. -1 + 1 + -1x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 7 + 1 -1x = 7 + 1 Combine like terms: 7 + 1 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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