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Simplifying 2(3x + -1) = 2(2x + 3) Reorder the terms: 2(-1 + 3x) = 2(2x + 3) (-1 * 2 + 3x * 2) = 2(2x + 3) (-2 + 6x) = 2(2x + 3) Reorder the terms: -2 + 6x = 2(3 + 2x) -2 + 6x = (3 * 2 + 2x * 2) -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 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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