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Simplifying 2(3x + -1) = 2x + 6 Reorder the terms: 2(-1 + 3x) = 2x + 6 (-1 * 2 + 3x * 2) = 2x + 6 (-2 + 6x) = 2x + 6 Reorder the terms: -2 + 6x = 6 + 2x Solving -2 + 6x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + 6x + -2x = 6 + 2x + -2x Combine like terms: 6x + -2x = 4x -2 + 4x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 4x = 6 + 0 -2 + 4x = 6 Add '2' to each side of the equation. -2 + 2 + 4x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 6 + 2 4x = 6 + 2 Combine like terms: 6 + 2 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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