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Simplifying 4(3x + -1) = -2(2x + -6) Reorder the terms: 4(-1 + 3x) = -2(2x + -6) (-1 * 4 + 3x * 4) = -2(2x + -6) (-4 + 12x) = -2(2x + -6) Reorder the terms: -4 + 12x = -2(-6 + 2x) -4 + 12x = (-6 * -2 + 2x * -2) -4 + 12x = (12 + -4x) Solving -4 + 12x = 12 + -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. -4 + 12x + 4x = 12 + -4x + 4x Combine like terms: 12x + 4x = 16x -4 + 16x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 -4 + 16x = 12 + 0 -4 + 16x = 12 Add '4' to each side of the equation. -4 + 4 + 16x = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 16x = 12 + 4 16x = 12 + 4 Combine like terms: 12 + 4 = 16 16x = 16 Divide each side by '16'. x = 1 Simplifying x = 1
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