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Simplifying 3(4x + -1) = 6x + -2 + -1(6x) + -1 Reorder the terms: 3(-1 + 4x) = 6x + -2 + -1(6x) + -1 (-1 * 3 + 4x * 3) = 6x + -2 + -1(6x) + -1 (-3 + 12x) = 6x + -2 + -1(6x) + -1 Remove parenthesis around (6x) -3 + 12x = 6x + -2 + -1 * 6x + -1 Multiply -1 * 6 -3 + 12x = 6x + -2 + -6x + -1 Reorder the terms: -3 + 12x = -2 + -1 + 6x + -6x Combine like terms: -2 + -1 = -3 -3 + 12x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + 12x = -3 + 0 -3 + 12x = -3 Add '3' to each side of the equation. -3 + 3 + 12x = -3 + 3 Combine like terms: -3 + 3 = 0 0 + 12x = -3 + 3 12x = -3 + 3 Combine like terms: -3 + 3 = 0 12x = 0 Solving 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '12'. x = 0 Simplifying x = 0
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