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Simplifying 3(2x + -1) + -1(4x + 2) = 3 Reorder the terms: 3(-1 + 2x) + -1(4x + 2) = 3 (-1 * 3 + 2x * 3) + -1(4x + 2) = 3 (-3 + 6x) + -1(4x + 2) = 3 Reorder the terms: -3 + 6x + -1(2 + 4x) = 3 -3 + 6x + (2 * -1 + 4x * -1) = 3 -3 + 6x + (-2 + -4x) = 3 Reorder the terms: -3 + -2 + 6x + -4x = 3 Combine like terms: -3 + -2 = -5 -5 + 6x + -4x = 3 Combine like terms: 6x + -4x = 2x -5 + 2x = 3 Solving -5 + 2x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2x = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 3 + 5 2x = 3 + 5 Combine like terms: 3 + 5 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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