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Simplifying 2(4x + -3) + -1(-3)(-4x) = 6 Reorder the terms: 2(-3 + 4x) + -1(-3)(-4x) = 6 (-3 * 2 + 4x * 2) + -1(-3)(-4x) = 6 (-6 + 8x) + -1(-3)(-4x) = 6 Remove parenthesis around (-4x) -6 + 8x + -1 * -3 * -4x = 6 Multiply -1 * -3 -6 + 8x + 3 * -4x = 6 Multiply 3 * -4 -6 + 8x + -12x = 6 Combine like terms: 8x + -12x = -4x -6 + -4x = 6 Solving -6 + -4x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -4x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = 6 + 6 -4x = 6 + 6 Combine like terms: 6 + 6 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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