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Simplifying 2(3x + -1) = 4x + -6 Reorder the terms: 2(-1 + 3x) = 4x + -6 (-1 * 2 + 3x * 2) = 4x + -6 (-2 + 6x) = 4x + -6 Reorder the terms: -2 + 6x = -6 + 4x Solving -2 + 6x = -6 + 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. -2 + 6x + -4x = -6 + 4x + -4x Combine like terms: 6x + -4x = 2x -2 + 2x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + 2x = -6 + 0 -2 + 2x = -6 Add '2' to each side of the equation. -2 + 2 + 2x = -6 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = -6 + 2 2x = -6 + 2 Combine like terms: -6 + 2 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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