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