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Simplifying 3x + -1 = 6 + -1(3 + -4x) Reorder the terms: -1 + 3x = 6 + -1(3 + -4x) -1 + 3x = 6 + (3 * -1 + -4x * -1) -1 + 3x = 6 + (-3 + 4x) Combine like terms: 6 + -3 = 3 -1 + 3x = 3 + 4x Solving -1 + 3x = 3 + 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 = 3 + 4x + -4x Combine like terms: 3x + -4x = -1x -1 + -1x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + -1x = 3 + 0 -1 + -1x = 3 Add '1' to each side of the equation. -1 + 1 + -1x = 3 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 3 + 1 -1x = 3 + 1 Combine like terms: 3 + 1 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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